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Finding the Third Proportional to 10,113.50 and 15,092

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Solution

The third proportional to 10,113.50 and 15,092 is: 22,521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,113.50 : 15,092 = 15,092 : x
  2. Step 2: Convert to fraction form
    10,113.50/15,092 = 15,092/x
  3. Step 3: Cross multiply
    10,113.50x = 15,092 × 15,092
  4. Step 4: Simplify right side
    10,113.50x = 227,768,464
  5. Step 5: Solve for x
    x = 227,768,464/10,113.50
  6. Step 6: Final answer
    x = 22,521.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.