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Finding the Third Proportional to 26,840 and 62,388

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Solution

The third proportional to 26,840 and 62,388 is: 145,017.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,840 : 62,388 = 62,388 : x
  2. Step 2: Convert to fraction form
    26,840/62,388 = 62,388/x
  3. Step 3: Cross multiply
    26,840x = 62,388 × 62,388
  4. Step 4: Simplify right side
    26,840x = 3,892,262,544
  5. Step 5: Solve for x
    x = 3,892,262,544/26,840
  6. Step 6: Final answer
    x = 145,017.23

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.