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Finding the Third Proportional to 29,425.88 and 37,781.81

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Solution

The third proportional to 29,425.88 and 37,781.81 is: 48,510.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,425.88 : 37,781.81 = 37,781.81 : x
  2. Step 2: Convert to fraction form
    29,425.88/37,781.81 = 37,781.81/x
  3. Step 3: Cross multiply
    29,425.88x = 37,781.81 × 37,781.81
  4. Step 4: Simplify right side
    29,425.88x = 1,427,465,355.79
  5. Step 5: Solve for x
    x = 1,427,465,355.79/29,425.88
  6. Step 6: Final answer
    x = 48,510.55

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.