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Finding the Third Proportional to 29,425.50 and 37,781.25

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Solution

The third proportional to 29,425.50 and 37,781.25 is: 48,509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,425.50 : 37,781.25 = 37,781.25 : x
  2. Step 2: Convert to fraction form
    29,425.50/37,781.25 = 37,781.25/x
  3. Step 3: Cross multiply
    29,425.50x = 37,781.25 × 37,781.25
  4. Step 4: Simplify right side
    29,425.50x = 1,427,422,851.56
  5. Step 5: Solve for x
    x = 1,427,422,851.56/29,425.50
  6. Step 6: Final answer
    x = 48,509.72

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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.