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Finding the Third Proportional to 26,677.13 and 38,638.69

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Solution

The third proportional to 26,677.13 and 38,638.69 is: 55,963.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,677.13 : 38,638.69 = 38,638.69 : x
  2. Step 2: Convert to fraction form
    26,677.13/38,638.69 = 38,638.69/x
  3. Step 3: Cross multiply
    26,677.13x = 38,638.69 × 38,638.69
  4. Step 4: Simplify right side
    26,677.13x = 1,492,948,171.72
  5. Step 5: Solve for x
    x = 1,492,948,171.72/26,677.13
  6. Step 6: Final answer
    x = 55,963.61

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.