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Finding the Third Proportional to 10,398.38 and 22,644.56

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Solution

The third proportional to 10,398.38 and 22,644.56 is: 49,313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.38 : 22,644.56 = 22,644.56 : x
  2. Step 2: Convert to fraction form
    10,398.38/22,644.56 = 22,644.56/x
  3. Step 3: Cross multiply
    10,398.38x = 22,644.56 × 22,644.56
  4. Step 4: Simplify right side
    10,398.38x = 512,776,210.82
  5. Step 5: Solve for x
    x = 512,776,210.82/10,398.38
  6. Step 6: Final answer
    x = 49,313.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.