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Finding the Third Proportional to 35,073 and 73,264.50

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Solution

The third proportional to 35,073 and 73,264.50 is: 153,043.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,073 : 73,264.50 = 73,264.50 : x
  2. Step 2: Convert to fraction form
    35,073/73,264.50 = 73,264.50/x
  3. Step 3: Cross multiply
    35,073x = 73,264.50 × 73,264.50
  4. Step 4: Simplify right side
    35,073x = 5,367,686,960.25
  5. Step 5: Solve for x
    x = 5,367,686,960.25/35,073
  6. Step 6: Final answer
    x = 153,043.28

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.