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Finding the Third Proportional to 9,481 and 22,345

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Solution

The third proportional to 9,481 and 22,345 is: 52,663.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481 : 22,345 = 22,345 : x
  2. Step 2: Convert to fraction form
    9,481/22,345 = 22,345/x
  3. Step 3: Cross multiply
    9,481x = 22,345 × 22,345
  4. Step 4: Simplify right side
    9,481x = 499,299,025
  5. Step 5: Solve for x
    x = 499,299,025/9,481
  6. Step 6: Final answer
    x = 52,663.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.