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Finding the Third Proportional to 5,135.91 and 11,038.78

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Solution

The third proportional to 5,135.91 and 11,038.78 is: 23,726.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.91 : 11,038.78 = 11,038.78 : x
  2. Step 2: Convert to fraction form
    5,135.91/11,038.78 = 11,038.78/x
  3. Step 3: Cross multiply
    5,135.91x = 11,038.78 × 11,038.78
  4. Step 4: Simplify right side
    5,135.91x = 121,854,691.49
  5. Step 5: Solve for x
    x = 121,854,691.49/5,135.91
  6. Step 6: Final answer
    x = 23,726.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.