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Finding the Third Proportional to 24,805 and 58,543

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Solution

The third proportional to 24,805 and 58,543 is: 138,169.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,805 : 58,543 = 58,543 : x
  2. Step 2: Convert to fraction form
    24,805/58,543 = 58,543/x
  3. Step 3: Cross multiply
    24,805x = 58,543 × 58,543
  4. Step 4: Simplify right side
    24,805x = 3,427,282,849
  5. Step 5: Solve for x
    x = 3,427,282,849/24,805
  6. Step 6: Final answer
    x = 138,169.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.