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Finding the Third Proportional to 31,637.25 and 67,365

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Solution

The third proportional to 31,637.25 and 67,365 is: 143,439.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,637.25 : 67,365 = 67,365 : x
  2. Step 2: Convert to fraction form
    31,637.25/67,365 = 67,365/x
  3. Step 3: Cross multiply
    31,637.25x = 67,365 × 67,365
  4. Step 4: Simplify right side
    31,637.25x = 4,538,043,225
  5. Step 5: Solve for x
    x = 4,538,043,225/31,637.25
  6. Step 6: Final answer
    x = 143,439.88

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.