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Finding the Third Proportional to 8,567.44 and 13,246.03

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Solution

The third proportional to 8,567.44 and 13,246.03 is: 20,479.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.44 : 13,246.03 = 13,246.03 : x
  2. Step 2: Convert to fraction form
    8,567.44/13,246.03 = 13,246.03/x
  3. Step 3: Cross multiply
    8,567.44x = 13,246.03 × 13,246.03
  4. Step 4: Simplify right side
    8,567.44x = 175,457,343.88
  5. Step 5: Solve for x
    x = 175,457,343.88/8,567.44
  6. Step 6: Final answer
    x = 20,479.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.