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Finding the Third Proportional to 4,456.13 and 9,609.19

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Solution

The third proportional to 4,456.13 and 9,609.19 is: 20,721.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,456.13 : 9,609.19 = 9,609.19 : x
  2. Step 2: Convert to fraction form
    4,456.13/9,609.19 = 9,609.19/x
  3. Step 3: Cross multiply
    4,456.13x = 9,609.19 × 9,609.19
  4. Step 4: Simplify right side
    4,456.13x = 92,336,484.41
  5. Step 5: Solve for x
    x = 92,336,484.41/4,456.13
  6. Step 6: Final answer
    x = 20,721.25

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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.