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Finding the Third Proportional to 27,786 and 61,578

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Solution

The third proportional to 27,786 and 61,578 is: 136,466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,786 : 61,578 = 61,578 : x
  2. Step 2: Convert to fraction form
    27,786/61,578 = 61,578/x
  3. Step 3: Cross multiply
    27,786x = 61,578 × 61,578
  4. Step 4: Simplify right side
    27,786x = 3,791,850,084
  5. Step 5: Solve for x
    x = 3,791,850,084/27,786
  6. Step 6: Final answer
    x = 136,466.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.