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Finding the Third Proportional to 8,702.44 and 13,744.69

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Solution

The third proportional to 8,702.44 and 13,744.69 is: 21,708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.44 : 13,744.69 = 13,744.69 : x
  2. Step 2: Convert to fraction form
    8,702.44/13,744.69 = 13,744.69/x
  3. Step 3: Cross multiply
    8,702.44x = 13,744.69 × 13,744.69
  4. Step 4: Simplify right side
    8,702.44x = 188,916,434.47
  5. Step 5: Solve for x
    x = 188,916,434.47/8,702.44
  6. Step 6: Final answer
    x = 21,708.45

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.