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Finding the Third Proportional to 6,001.59 and 7,963.95

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Solution

The third proportional to 6,001.59 and 7,963.95 is: 10,567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001.59 : 7,963.95 = 7,963.95 : x
  2. Step 2: Convert to fraction form
    6,001.59/7,963.95 = 7,963.95/x
  3. Step 3: Cross multiply
    6,001.59x = 7,963.95 × 7,963.95
  4. Step 4: Simplify right side
    6,001.59x = 63,424,424.94
  5. Step 5: Solve for x
    x = 63,424,424.94/6,001.59
  6. Step 6: Final answer
    x = 10,567.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.