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Finding the Third Proportional to 27,880 and 61,304

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Solution

The third proportional to 27,880 and 61,304 is: 134,798.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,880 : 61,304 = 61,304 : x
  2. Step 2: Convert to fraction form
    27,880/61,304 = 61,304/x
  3. Step 3: Cross multiply
    27,880x = 61,304 × 61,304
  4. Step 4: Simplify right side
    27,880x = 3,758,180,416
  5. Step 5: Solve for x
    x = 3,758,180,416/27,880
  6. Step 6: Final answer
    x = 134,798.44

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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.