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Finding the Third Proportional to 15,939 and 24,158

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Solution

The third proportional to 15,939 and 24,158 is: 36,615.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,939 : 24,158 = 24,158 : x
  2. Step 2: Convert to fraction form
    15,939/24,158 = 24,158/x
  3. Step 3: Cross multiply
    15,939x = 24,158 × 24,158
  4. Step 4: Simplify right side
    15,939x = 583,608,964
  5. Step 5: Solve for x
    x = 583,608,964/15,939
  6. Step 6: Final answer
    x = 36,615.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.