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Finding the Third Proportional to 27,415 and 58,988

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Solution

The third proportional to 27,415 and 58,988 is: 126,922.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,415 : 58,988 = 58,988 : x
  2. Step 2: Convert to fraction form
    27,415/58,988 = 58,988/x
  3. Step 3: Cross multiply
    27,415x = 58,988 × 58,988
  4. Step 4: Simplify right side
    27,415x = 3,479,584,144
  5. Step 5: Solve for x
    x = 3,479,584,144/27,415
  6. Step 6: Final answer
    x = 126,922.64

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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.