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Finding the Third Proportional to 27,352 and 58,895

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Solution

The third proportional to 27,352 and 58,895 is: 126,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,352 : 58,895 = 58,895 : x
  2. Step 2: Convert to fraction form
    27,352/58,895 = 58,895/x
  3. Step 3: Cross multiply
    27,352x = 58,895 × 58,895
  4. Step 4: Simplify right side
    27,352x = 3,468,621,025
  5. Step 5: Solve for x
    x = 3,468,621,025/27,352
  6. Step 6: Final answer
    x = 126,814.16

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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.