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Finding the Third Proportional to 24,867 and 58,347

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Solution

The third proportional to 24,867 and 58,347 is: 136,903.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,867 : 58,347 = 58,347 : x
  2. Step 2: Convert to fraction form
    24,867/58,347 = 58,347/x
  3. Step 3: Cross multiply
    24,867x = 58,347 × 58,347
  4. Step 4: Simplify right side
    24,867x = 3,404,372,409
  5. Step 5: Solve for x
    x = 3,404,372,409/24,867
  6. Step 6: Final answer
    x = 136,903.22

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.