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Finding the Third Proportional to 27,934 and 63,820

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Solution

The third proportional to 27,934 and 63,820 is: 145,807.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,934 : 63,820 = 63,820 : x
  2. Step 2: Convert to fraction form
    27,934/63,820 = 63,820/x
  3. Step 3: Cross multiply
    27,934x = 63,820 × 63,820
  4. Step 4: Simplify right side
    27,934x = 4,072,992,400
  5. Step 5: Solve for x
    x = 4,072,992,400/27,934
  6. Step 6: Final answer
    x = 145,807.70

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.