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Finding the Third Proportional to 26,656 and 57,680

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Solution

The third proportional to 26,656 and 57,680 is: 124,811.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,656 : 57,680 = 57,680 : x
  2. Step 2: Convert to fraction form
    26,656/57,680 = 57,680/x
  3. Step 3: Cross multiply
    26,656x = 57,680 × 57,680
  4. Step 4: Simplify right side
    26,656x = 3,326,982,400
  5. Step 5: Solve for x
    x = 3,326,982,400/26,656
  6. Step 6: Final answer
    x = 124,811.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.