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Finding the Third Proportional to 12,787 and 27,424

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Solution

The third proportional to 12,787 and 27,424 is: 58,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787 : 27,424 = 27,424 : x
  2. Step 2: Convert to fraction form
    12,787/27,424 = 27,424/x
  3. Step 3: Cross multiply
    12,787x = 27,424 × 27,424
  4. Step 4: Simplify right side
    12,787x = 752,075,776
  5. Step 5: Solve for x
    x = 752,075,776/12,787
  6. Step 6: Final answer
    x = 58,815.65

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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.