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Finding the Third Proportional to 26,698 and 62,371

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Solution

The third proportional to 26,698 and 62,371 is: 145,709.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,698 : 62,371 = 62,371 : x
  2. Step 2: Convert to fraction form
    26,698/62,371 = 62,371/x
  3. Step 3: Cross multiply
    26,698x = 62,371 × 62,371
  4. Step 4: Simplify right side
    26,698x = 3,890,141,641
  5. Step 5: Solve for x
    x = 3,890,141,641/26,698
  6. Step 6: Final answer
    x = 145,709.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.