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Finding the Third Proportional to 9,489.23 and 22,663.55

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Solution

The third proportional to 9,489.23 and 22,663.55 is: 54,128.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.23 : 22,663.55 = 22,663.55 : x
  2. Step 2: Convert to fraction form
    9,489.23/22,663.55 = 22,663.55/x
  3. Step 3: Cross multiply
    9,489.23x = 22,663.55 × 22,663.55
  4. Step 4: Simplify right side
    9,489.23x = 513,636,356.96
  5. Step 5: Solve for x
    x = 513,636,356.96/9,489.23
  6. Step 6: Final answer
    x = 54,128.32

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.