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Finding the Third Proportional to 26,542 and 58,006

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Solution

The third proportional to 26,542 and 58,006 is: 126,768.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,542 : 58,006 = 58,006 : x
  2. Step 2: Convert to fraction form
    26,542/58,006 = 58,006/x
  3. Step 3: Cross multiply
    26,542x = 58,006 × 58,006
  4. Step 4: Simplify right side
    26,542x = 3,364,696,036
  5. Step 5: Solve for x
    x = 3,364,696,036/26,542
  6. Step 6: Final answer
    x = 126,768.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.