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Finding the Third Proportional to 24,026 and 36,327

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Solution

The third proportional to 24,026 and 36,327 is: 54,925.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,026 : 36,327 = 36,327 : x
  2. Step 2: Convert to fraction form
    24,026/36,327 = 36,327/x
  3. Step 3: Cross multiply
    24,026x = 36,327 × 36,327
  4. Step 4: Simplify right side
    24,026x = 1,319,650,929
  5. Step 5: Solve for x
    x = 1,319,650,929/24,026
  6. Step 6: Final answer
    x = 54,925.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.