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Finding the Third Proportional to 12,480 and 26,962

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Solution

The third proportional to 12,480 and 26,962 is: 58,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,480 : 26,962 = 26,962 : x
  2. Step 2: Convert to fraction form
    12,480/26,962 = 26,962/x
  3. Step 3: Cross multiply
    12,480x = 26,962 × 26,962
  4. Step 4: Simplify right side
    12,480x = 726,949,444
  5. Step 5: Solve for x
    x = 726,949,444/12,480
  6. Step 6: Final answer
    x = 58,249.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.