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Finding the Third Proportional to 30,250.13 and 65,674.13

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Solution

The third proportional to 30,250.13 and 65,674.13 is: 142,580.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,250.13 : 65,674.13 = 65,674.13 : x
  2. Step 2: Convert to fraction form
    30,250.13/65,674.13 = 65,674.13/x
  3. Step 3: Cross multiply
    30,250.13x = 65,674.13 × 65,674.13
  4. Step 4: Simplify right side
    30,250.13x = 4,313,090,694.52
  5. Step 5: Solve for x
    x = 4,313,090,694.52/30,250.13
  6. Step 6: Final answer
    x = 142,580.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.