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Finding the Third Proportional to 27,792 and 61,146

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Solution

The third proportional to 27,792 and 61,146 is: 134,529.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,792 : 61,146 = 61,146 : x
  2. Step 2: Convert to fraction form
    27,792/61,146 = 61,146/x
  3. Step 3: Cross multiply
    27,792x = 61,146 × 61,146
  4. Step 4: Simplify right side
    27,792x = 3,738,833,316
  5. Step 5: Solve for x
    x = 3,738,833,316/27,792
  6. Step 6: Final answer
    x = 134,529.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.