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Finding the Third Proportional to 26,387 and 62,291

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Solution

The third proportional to 26,387 and 62,291 is: 147,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,387 : 62,291 = 62,291 : x
  2. Step 2: Convert to fraction form
    26,387/62,291 = 62,291/x
  3. Step 3: Cross multiply
    26,387x = 62,291 × 62,291
  4. Step 4: Simplify right side
    26,387x = 3,880,168,681
  5. Step 5: Solve for x
    x = 3,880,168,681/26,387
  6. Step 6: Final answer
    x = 147,048.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.