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Finding the Third Proportional to 31,731.79 and 67,538.58

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Solution

The third proportional to 31,731.79 and 67,538.58 is: 143,750.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,731.79 : 67,538.58 = 67,538.58 : x
  2. Step 2: Convert to fraction form
    31,731.79/67,538.58 = 67,538.58/x
  3. Step 3: Cross multiply
    31,731.79x = 67,538.58 × 67,538.58
  4. Step 4: Simplify right side
    31,731.79x = 4,561,459,139.41
  5. Step 5: Solve for x
    x = 4,561,459,139.41/31,731.79
  6. Step 6: Final answer
    x = 143,750.45

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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.