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Finding the Third Proportional to 24,613 and 52,182

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Solution

The third proportional to 24,613 and 52,182 is: 110,631.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,613 : 52,182 = 52,182 : x
  2. Step 2: Convert to fraction form
    24,613/52,182 = 52,182/x
  3. Step 3: Cross multiply
    24,613x = 52,182 × 52,182
  4. Step 4: Simplify right side
    24,613x = 2,722,961,124
  5. Step 5: Solve for x
    x = 2,722,961,124/24,613
  6. Step 6: Final answer
    x = 110,631.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.