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Finding the Third Proportional to 12,414.75 and 26,607

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Solution

The third proportional to 12,414.75 and 26,607 is: 57,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.75 : 26,607 = 26,607 : x
  2. Step 2: Convert to fraction form
    12,414.75/26,607 = 26,607/x
  3. Step 3: Cross multiply
    12,414.75x = 26,607 × 26,607
  4. Step 4: Simplify right side
    12,414.75x = 707,932,449
  5. Step 5: Solve for x
    x = 707,932,449/12,414.75
  6. Step 6: Final answer
    x = 57,023.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.