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Finding the Third Proportional to 24,729 and 58,344

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Solution

The third proportional to 24,729 and 58,344 is: 137,653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,729 : 58,344 = 58,344 : x
  2. Step 2: Convert to fraction form
    24,729/58,344 = 58,344/x
  3. Step 3: Cross multiply
    24,729x = 58,344 × 58,344
  4. Step 4: Simplify right side
    24,729x = 3,404,022,336
  5. Step 5: Solve for x
    x = 3,404,022,336/24,729
  6. Step 6: Final answer
    x = 137,653.05

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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.