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Finding the Third Proportional to 24,724 and 58,338

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Solution

The third proportional to 24,724 and 58,338 is: 137,652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,724 : 58,338 = 58,338 : x
  2. Step 2: Convert to fraction form
    24,724/58,338 = 58,338/x
  3. Step 3: Cross multiply
    24,724x = 58,338 × 58,338
  4. Step 4: Simplify right side
    24,724x = 3,403,322,244
  5. Step 5: Solve for x
    x = 3,403,322,244/24,724
  6. Step 6: Final answer
    x = 137,652.57

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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.