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Finding the Third Proportional to 6,352.88 and 9,780.19

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Solution

The third proportional to 6,352.88 and 9,780.19 is: 15,056.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.88 : 9,780.19 = 9,780.19 : x
  2. Step 2: Convert to fraction form
    6,352.88/9,780.19 = 9,780.19/x
  3. Step 3: Cross multiply
    6,352.88x = 9,780.19 × 9,780.19
  4. Step 4: Simplify right side
    6,352.88x = 95,652,067.54
  5. Step 5: Solve for x
    x = 95,652,067.54/6,352.88
  6. Step 6: Final answer
    x = 15,056.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.