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Finding the Third Proportional to 26,668 and 58,040

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Solution

The third proportional to 26,668 and 58,040 is: 126,317.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,668 : 58,040 = 58,040 : x
  2. Step 2: Convert to fraction form
    26,668/58,040 = 58,040/x
  3. Step 3: Cross multiply
    26,668x = 58,040 × 58,040
  4. Step 4: Simplify right side
    26,668x = 3,368,641,600
  5. Step 5: Solve for x
    x = 3,368,641,600/26,668
  6. Step 6: Final answer
    x = 126,317.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.