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Finding the Third Proportional to 5,329.55 and 7,994.95

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Solution

The third proportional to 5,329.55 and 7,994.95 is: 11,993.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.55 : 7,994.95 = 7,994.95 : x
  2. Step 2: Convert to fraction form
    5,329.55/7,994.95 = 7,994.95/x
  3. Step 3: Cross multiply
    5,329.55x = 7,994.95 × 7,994.95
  4. Step 4: Simplify right side
    5,329.55x = 63,919,275.47
  5. Step 5: Solve for x
    x = 63,919,275.47/5,329.55
  6. Step 6: Final answer
    x = 11,993.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.