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Finding the Third Proportional to 27,830 and 61,880

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Solution

The third proportional to 27,830 and 61,880 is: 137,590.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,830 : 61,880 = 61,880 : x
  2. Step 2: Convert to fraction form
    27,830/61,880 = 61,880/x
  3. Step 3: Cross multiply
    27,830x = 61,880 × 61,880
  4. Step 4: Simplify right side
    27,830x = 3,829,134,400
  5. Step 5: Solve for x
    x = 3,829,134,400/27,830
  6. Step 6: Final answer
    x = 137,590.17

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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.