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Finding the Third Proportional to 26,443 and 57,709

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Solution

The third proportional to 26,443 and 57,709 is: 125,943.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,443 : 57,709 = 57,709 : x
  2. Step 2: Convert to fraction form
    26,443/57,709 = 57,709/x
  3. Step 3: Cross multiply
    26,443x = 57,709 × 57,709
  4. Step 4: Simplify right side
    26,443x = 3,330,328,681
  5. Step 5: Solve for x
    x = 3,330,328,681/26,443
  6. Step 6: Final answer
    x = 125,943.68

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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.