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Finding the Third Proportional to 24,272 and 52,146

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Solution

The third proportional to 24,272 and 52,146 is: 112,030.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,272 : 52,146 = 52,146 : x
  2. Step 2: Convert to fraction form
    24,272/52,146 = 52,146/x
  3. Step 3: Cross multiply
    24,272x = 52,146 × 52,146
  4. Step 4: Simplify right side
    24,272x = 2,719,205,316
  5. Step 5: Solve for x
    x = 2,719,205,316/24,272
  6. Step 6: Final answer
    x = 112,030.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.