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Finding the Third Proportional to 24,733 and 58,327

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Solution

The third proportional to 24,733 and 58,327 is: 137,550.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,733 : 58,327 = 58,327 : x
  2. Step 2: Convert to fraction form
    24,733/58,327 = 58,327/x
  3. Step 3: Cross multiply
    24,733x = 58,327 × 58,327
  4. Step 4: Simplify right side
    24,733x = 3,402,038,929
  5. Step 5: Solve for x
    x = 3,402,038,929/24,733
  6. Step 6: Final answer
    x = 137,550.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.