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Finding the Third Proportional to 25,468 and 60,982

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Solution

The third proportional to 25,468 and 60,982 is: 146,018.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,468 : 60,982 = 60,982 : x
  2. Step 2: Convert to fraction form
    25,468/60,982 = 60,982/x
  3. Step 3: Cross multiply
    25,468x = 60,982 × 60,982
  4. Step 4: Simplify right side
    25,468x = 3,718,804,324
  5. Step 5: Solve for x
    x = 3,718,804,324/25,468
  6. Step 6: Final answer
    x = 146,018.70

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.