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Finding the Third Proportional to 6,567.75 and 9,820.13

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Solution

The third proportional to 6,567.75 and 9,820.13 is: 14,683.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.75 : 9,820.13 = 9,820.13 : x
  2. Step 2: Convert to fraction form
    6,567.75/9,820.13 = 9,820.13/x
  3. Step 3: Cross multiply
    6,567.75x = 9,820.13 × 9,820.13
  4. Step 4: Simplify right side
    6,567.75x = 96,434,855.02
  5. Step 5: Solve for x
    x = 96,434,855.02/6,567.75
  6. Step 6: Final answer
    x = 14,683.09

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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.