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Finding the Third Proportional to 4,897.97 and 7,449.47

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Solution

The third proportional to 4,897.97 and 7,449.47 is: 11,330.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.97 : 7,449.47 = 7,449.47 : x
  2. Step 2: Convert to fraction form
    4,897.97/7,449.47 = 7,449.47/x
  3. Step 3: Cross multiply
    4,897.97x = 7,449.47 × 7,449.47
  4. Step 4: Simplify right side
    4,897.97x = 55,494,584.66
  5. Step 5: Solve for x
    x = 55,494,584.66/4,897.97
  6. Step 6: Final answer
    x = 11,330.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.