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Finding the Third Proportional to 24,114 and 36,146

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Solution

The third proportional to 24,114 and 36,146 is: 54,181.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,114 : 36,146 = 36,146 : x
  2. Step 2: Convert to fraction form
    24,114/36,146 = 36,146/x
  3. Step 3: Cross multiply
    24,114x = 36,146 × 36,146
  4. Step 4: Simplify right side
    24,114x = 1,306,533,316
  5. Step 5: Solve for x
    x = 1,306,533,316/24,114
  6. Step 6: Final answer
    x = 54,181.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.