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Finding the Third Proportional to 10,753.31 and 23,154.47

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Solution

The third proportional to 10,753.31 and 23,154.47 is: 49,857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,753.31 : 23,154.47 = 23,154.47 : x
  2. Step 2: Convert to fraction form
    10,753.31/23,154.47 = 23,154.47/x
  3. Step 3: Cross multiply
    10,753.31x = 23,154.47 × 23,154.47
  4. Step 4: Simplify right side
    10,753.31x = 536,129,423.09
  5. Step 5: Solve for x
    x = 536,129,423.09/10,753.31
  6. Step 6: Final answer
    x = 49,857.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.