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Finding the Third Proportional to 4,897.97 and 6,883.73

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Solution

The third proportional to 4,897.97 and 6,883.73 is: 9,674.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.97 : 6,883.73 = 6,883.73 : x
  2. Step 2: Convert to fraction form
    4,897.97/6,883.73 = 6,883.73/x
  3. Step 3: Cross multiply
    4,897.97x = 6,883.73 × 6,883.73
  4. Step 4: Simplify right side
    4,897.97x = 47,385,798.95
  5. Step 5: Solve for x
    x = 47,385,798.95/4,897.97
  6. Step 6: Final answer
    x = 9,674.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.