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Finding the Third Proportional to 15,197.81 and 22,735.97

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Solution

The third proportional to 15,197.81 and 22,735.97 is: 34,013.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,197.81 : 22,735.97 = 22,735.97 : x
  2. Step 2: Convert to fraction form
    15,197.81/22,735.97 = 22,735.97/x
  3. Step 3: Cross multiply
    15,197.81x = 22,735.97 × 22,735.97
  4. Step 4: Simplify right side
    15,197.81x = 516,924,275.00
  5. Step 5: Solve for x
    x = 516,924,275.00/15,197.81
  6. Step 6: Final answer
    x = 34,013.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.