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Finding the Third Proportional to 27,510 and 58,584

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Solution

The third proportional to 27,510 and 58,584 is: 124,757.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,510 : 58,584 = 58,584 : x
  2. Step 2: Convert to fraction form
    27,510/58,584 = 58,584/x
  3. Step 3: Cross multiply
    27,510x = 58,584 × 58,584
  4. Step 4: Simplify right side
    27,510x = 3,432,085,056
  5. Step 5: Solve for x
    x = 3,432,085,056/27,510
  6. Step 6: Final answer
    x = 124,757.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.