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Finding the Third Proportional to 12,439 and 27,043

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Solution

The third proportional to 12,439 and 27,043 is: 58,792.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,439 : 27,043 = 27,043 : x
  2. Step 2: Convert to fraction form
    12,439/27,043 = 27,043/x
  3. Step 3: Cross multiply
    12,439x = 27,043 × 27,043
  4. Step 4: Simplify right side
    12,439x = 731,323,849
  5. Step 5: Solve for x
    x = 731,323,849/12,439
  6. Step 6: Final answer
    x = 58,792.82

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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.