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Finding the Third Proportional to 27,150 and 58,386

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Solution

The third proportional to 27,150 and 58,386 is: 125,558.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,150 : 58,386 = 58,386 : x
  2. Step 2: Convert to fraction form
    27,150/58,386 = 58,386/x
  3. Step 3: Cross multiply
    27,150x = 58,386 × 58,386
  4. Step 4: Simplify right side
    27,150x = 3,408,924,996
  5. Step 5: Solve for x
    x = 3,408,924,996/27,150
  6. Step 6: Final answer
    x = 125,558.93

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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.