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Finding the Third Proportional to 24,272 and 36,246

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Solution

The third proportional to 24,272 and 36,246 is: 54,127.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,272 : 36,246 = 36,246 : x
  2. Step 2: Convert to fraction form
    24,272/36,246 = 36,246/x
  3. Step 3: Cross multiply
    24,272x = 36,246 × 36,246
  4. Step 4: Simplify right side
    24,272x = 1,313,772,516
  5. Step 5: Solve for x
    x = 1,313,772,516/24,272
  6. Step 6: Final answer
    x = 54,127.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.