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Finding the Third Proportional to 5,059.13 and 11,042.16

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Solution

The third proportional to 5,059.13 and 11,042.16 is: 24,100.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059.13 : 11,042.16 = 11,042.16 : x
  2. Step 2: Convert to fraction form
    5,059.13/11,042.16 = 11,042.16/x
  3. Step 3: Cross multiply
    5,059.13x = 11,042.16 × 11,042.16
  4. Step 4: Simplify right side
    5,059.13x = 121,929,214.65
  5. Step 5: Solve for x
    x = 121,929,214.65/5,059.13
  6. Step 6: Final answer
    x = 24,100.85

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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.