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Finding the Third Proportional to 1,567.13 and 3,712.78

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Solution

The third proportional to 1,567.13 and 3,712.78 is: 8,796.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.13 : 3,712.78 = 3,712.78 : x
  2. Step 2: Convert to fraction form
    1,567.13/3,712.78 = 3,712.78/x
  3. Step 3: Cross multiply
    1,567.13x = 3,712.78 × 3,712.78
  4. Step 4: Simplify right side
    1,567.13x = 13,784,744.61
  5. Step 5: Solve for x
    x = 13,784,744.61/1,567.13
  6. Step 6: Final answer
    x = 8,796.20

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.