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Finding the Third Proportional to 12,562 and 27,310.75

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Solution

The third proportional to 12,562 and 27,310.75 is: 59,375.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,562 : 27,310.75 = 27,310.75 : x
  2. Step 2: Convert to fraction form
    12,562/27,310.75 = 27,310.75/x
  3. Step 3: Cross multiply
    12,562x = 27,310.75 × 27,310.75
  4. Step 4: Simplify right side
    12,562x = 745,877,065.56
  5. Step 5: Solve for x
    x = 745,877,065.56/12,562
  6. Step 6: Final answer
    x = 59,375.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.