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Finding the Third Proportional to 5,092.88 and 10,702.13

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Solution

The third proportional to 5,092.88 and 10,702.13 is: 22,489.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.88 : 10,702.13 = 10,702.13 : x
  2. Step 2: Convert to fraction form
    5,092.88/10,702.13 = 10,702.13/x
  3. Step 3: Cross multiply
    5,092.88x = 10,702.13 × 10,702.13
  4. Step 4: Simplify right side
    5,092.88x = 114,535,479.52
  5. Step 5: Solve for x
    x = 114,535,479.52/5,092.88
  6. Step 6: Final answer
    x = 22,489.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.