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Finding the Third Proportional to 24,647 and 38,129

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Solution

The third proportional to 24,647 and 38,129 is: 58,985.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,647 : 38,129 = 38,129 : x
  2. Step 2: Convert to fraction form
    24,647/38,129 = 38,129/x
  3. Step 3: Cross multiply
    24,647x = 38,129 × 38,129
  4. Step 4: Simplify right side
    24,647x = 1,453,820,641
  5. Step 5: Solve for x
    x = 1,453,820,641/24,647
  6. Step 6: Final answer
    x = 58,985.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.