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Finding the Third Proportional to 27,138 and 60,658

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Solution

The third proportional to 27,138 and 60,658 is: 135,580.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,138 : 60,658 = 60,658 : x
  2. Step 2: Convert to fraction form
    27,138/60,658 = 60,658/x
  3. Step 3: Cross multiply
    27,138x = 60,658 × 60,658
  4. Step 4: Simplify right side
    27,138x = 3,679,392,964
  5. Step 5: Solve for x
    x = 3,679,392,964/27,138
  6. Step 6: Final answer
    x = 135,580.84

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.