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Finding the Third Proportional to 24,504 and 38,943

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Solution

The third proportional to 24,504 and 38,943 is: 61,890.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,504 : 38,943 = 38,943 : x
  2. Step 2: Convert to fraction form
    24,504/38,943 = 38,943/x
  3. Step 3: Cross multiply
    24,504x = 38,943 × 38,943
  4. Step 4: Simplify right side
    24,504x = 1,516,557,249
  5. Step 5: Solve for x
    x = 1,516,557,249/24,504
  6. Step 6: Final answer
    x = 61,890.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.