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Finding the Third Proportional to 6,567.89 and 9,919.97

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Solution

The third proportional to 6,567.89 and 9,919.97 is: 14,982.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.89 : 9,919.97 = 9,919.97 : x
  2. Step 2: Convert to fraction form
    6,567.89/9,919.97 = 9,919.97/x
  3. Step 3: Cross multiply
    6,567.89x = 9,919.97 × 9,919.97
  4. Step 4: Simplify right side
    6,567.89x = 98,405,780.00
  5. Step 5: Solve for x
    x = 98,405,780.00/6,567.89
  6. Step 6: Final answer
    x = 14,982.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.