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Finding the Third Proportional to 4,117.92 and 9,055.97

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Solution

The third proportional to 4,117.92 and 9,055.97 is: 19,915.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.92 : 9,055.97 = 9,055.97 : x
  2. Step 2: Convert to fraction form
    4,117.92/9,055.97 = 9,055.97/x
  3. Step 3: Cross multiply
    4,117.92x = 9,055.97 × 9,055.97
  4. Step 4: Simplify right side
    4,117.92x = 82,010,570.00
  5. Step 5: Solve for x
    x = 82,010,570.00/4,117.92
  6. Step 6: Final answer
    x = 19,915.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.