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Finding the Third Proportional to 10,470.52 and 22,581.19

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Solution

The third proportional to 10,470.52 and 22,581.19 is: 48,699.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.52 : 22,581.19 = 22,581.19 : x
  2. Step 2: Convert to fraction form
    10,470.52/22,581.19 = 22,581.19/x
  3. Step 3: Cross multiply
    10,470.52x = 22,581.19 × 22,581.19
  4. Step 4: Simplify right side
    10,470.52x = 509,910,028.91
  5. Step 5: Solve for x
    x = 509,910,028.91/10,470.52
  6. Step 6: Final answer
    x = 48,699.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.