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Finding the Third Proportional to 24,195 and 36,986

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Solution

The third proportional to 24,195 and 36,986 is: 56,539.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,195 : 36,986 = 36,986 : x
  2. Step 2: Convert to fraction form
    24,195/36,986 = 36,986/x
  3. Step 3: Cross multiply
    24,195x = 36,986 × 36,986
  4. Step 4: Simplify right side
    24,195x = 1,367,964,196
  5. Step 5: Solve for x
    x = 1,367,964,196/24,195
  6. Step 6: Final answer
    x = 56,539.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.