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Finding the Third Proportional to 27,010 and 56,186

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Solution

The third proportional to 27,010 and 56,186 is: 116,877.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,010 : 56,186 = 56,186 : x
  2. Step 2: Convert to fraction form
    27,010/56,186 = 56,186/x
  3. Step 3: Cross multiply
    27,010x = 56,186 × 56,186
  4. Step 4: Simplify right side
    27,010x = 3,156,866,596
  5. Step 5: Solve for x
    x = 3,156,866,596/27,010
  6. Step 6: Final answer
    x = 116,877.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.