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Finding the Third Proportional to 10,131.50 and 15,337

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Solution

The third proportional to 10,131.50 and 15,337 is: 23,217.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,131.50 : 15,337 = 15,337 : x
  2. Step 2: Convert to fraction form
    10,131.50/15,337 = 15,337/x
  3. Step 3: Cross multiply
    10,131.50x = 15,337 × 15,337
  4. Step 4: Simplify right side
    10,131.50x = 235,223,569
  5. Step 5: Solve for x
    x = 235,223,569/10,131.50
  6. Step 6: Final answer
    x = 23,217.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.