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Finding the Third Proportional to 8,452.13 and 19,567.13

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Solution

The third proportional to 8,452.13 and 19,567.13 is: 45,298.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,452.13 : 19,567.13 = 19,567.13 : x
  2. Step 2: Convert to fraction form
    8,452.13/19,567.13 = 19,567.13/x
  3. Step 3: Cross multiply
    8,452.13x = 19,567.13 × 19,567.13
  4. Step 4: Simplify right side
    8,452.13x = 382,872,380.77
  5. Step 5: Solve for x
    x = 382,872,380.77/8,452.13
  6. Step 6: Final answer
    x = 45,298.95

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.