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Finding the Third Proportional to 4,897.97 and 7,791.19

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Solution

The third proportional to 4,897.97 and 7,791.19 is: 12,393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.97 : 7,791.19 = 7,791.19 : x
  2. Step 2: Convert to fraction form
    4,897.97/7,791.19 = 7,791.19/x
  3. Step 3: Cross multiply
    4,897.97x = 7,791.19 × 7,791.19
  4. Step 4: Simplify right side
    4,897.97x = 60,702,602.66
  5. Step 5: Solve for x
    x = 60,702,602.66/4,897.97
  6. Step 6: Final answer
    x = 12,393.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.