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Finding the Third Proportional to 24,329 and 52,403

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Solution

The third proportional to 24,329 and 52,403 is: 112,872.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,329 : 52,403 = 52,403 : x
  2. Step 2: Convert to fraction form
    24,329/52,403 = 52,403/x
  3. Step 3: Cross multiply
    24,329x = 52,403 × 52,403
  4. Step 4: Simplify right side
    24,329x = 2,746,074,409
  5. Step 5: Solve for x
    x = 2,746,074,409/24,329
  6. Step 6: Final answer
    x = 112,872.47

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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.