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Finding the Third Proportional to 29,702 and 44,553

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Solution

The third proportional to 29,702 and 44,553 is: 66,829.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,702 : 44,553 = 44,553 : x
  2. Step 2: Convert to fraction form
    29,702/44,553 = 44,553/x
  3. Step 3: Cross multiply
    29,702x = 44,553 × 44,553
  4. Step 4: Simplify right side
    29,702x = 1,984,969,809
  5. Step 5: Solve for x
    x = 1,984,969,809/29,702
  6. Step 6: Final answer
    x = 66,829.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.