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Finding the Third Proportional to 29,710.50 and 44,572.13

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Solution

The third proportional to 29,710.50 and 44,572.13 is: 66,867.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,710.50 : 44,572.13 = 44,572.13 : x
  2. Step 2: Convert to fraction form
    29,710.50/44,572.13 = 44,572.13/x
  3. Step 3: Cross multiply
    29,710.50x = 44,572.13 × 44,572.13
  4. Step 4: Simplify right side
    29,710.50x = 1,986,674,327.02
  5. Step 5: Solve for x
    x = 1,986,674,327.02/29,710.50
  6. Step 6: Final answer
    x = 66,867.75

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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.