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Finding the Third Proportional to 27,856 and 58,627

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Solution

The third proportional to 27,856 and 58,627 is: 123,389.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856 : 58,627 = 58,627 : x
  2. Step 2: Convert to fraction form
    27,856/58,627 = 58,627/x
  3. Step 3: Cross multiply
    27,856x = 58,627 × 58,627
  4. Step 4: Simplify right side
    27,856x = 3,437,125,129
  5. Step 5: Solve for x
    x = 3,437,125,129/27,856
  6. Step 6: Final answer
    x = 123,389.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.