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Finding the Third Proportional to 34,313.63 and 73,000.13

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Solution

The third proportional to 34,313.63 and 73,000.13 is: 155,303.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,313.63 : 73,000.13 = 73,000.13 : x
  2. Step 2: Convert to fraction form
    34,313.63/73,000.13 = 73,000.13/x
  3. Step 3: Cross multiply
    34,313.63x = 73,000.13 × 73,000.13
  4. Step 4: Simplify right side
    34,313.63x = 5,329,018,250.02
  5. Step 5: Solve for x
    x = 5,329,018,250.02/34,313.63
  6. Step 6: Final answer
    x = 155,303.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.