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Finding the Third Proportional to 27,010 and 57,078

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Solution

The third proportional to 27,010 and 57,078 is: 120,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,010 : 57,078 = 57,078 : x
  2. Step 2: Convert to fraction form
    27,010/57,078 = 57,078/x
  3. Step 3: Cross multiply
    27,010x = 57,078 × 57,078
  4. Step 4: Simplify right side
    27,010x = 3,257,898,084
  5. Step 5: Solve for x
    x = 3,257,898,084/27,010
  6. Step 6: Final answer
    x = 120,618.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.