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Finding the Third Proportional to 4,897.97 and 7,141.92

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Solution

The third proportional to 4,897.97 and 7,141.92 is: 10,413.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.97 : 7,141.92 = 7,141.92 : x
  2. Step 2: Convert to fraction form
    4,897.97/7,141.92 = 7,141.92/x
  3. Step 3: Cross multiply
    4,897.97x = 7,141.92 × 7,141.92
  4. Step 4: Simplify right side
    4,897.97x = 51,007,048.07
  5. Step 5: Solve for x
    x = 51,007,048.07/4,897.97
  6. Step 6: Final answer
    x = 10,413.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.