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Finding the Third Proportional to 10,702.13 and 20,062.69

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Solution

The third proportional to 10,702.13 and 20,062.69 is: 37,610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.13 : 20,062.69 = 20,062.69 : x
  2. Step 2: Convert to fraction form
    10,702.13/20,062.69 = 20,062.69/x
  3. Step 3: Cross multiply
    10,702.13x = 20,062.69 × 20,062.69
  4. Step 4: Simplify right side
    10,702.13x = 402,511,429.72
  5. Step 5: Solve for x
    x = 402,511,429.72/10,702.13
  6. Step 6: Final answer
    x = 37,610.42

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.