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Finding the Third Proportional to 29,712 and 44,416

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Solution

The third proportional to 29,712 and 44,416 is: 66,396.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,712 : 44,416 = 44,416 : x
  2. Step 2: Convert to fraction form
    29,712/44,416 = 44,416/x
  3. Step 3: Cross multiply
    29,712x = 44,416 × 44,416
  4. Step 4: Simplify right side
    29,712x = 1,972,781,056
  5. Step 5: Solve for x
    x = 1,972,781,056/29,712
  6. Step 6: Final answer
    x = 66,396.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.