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Finding the Third Proportional to 5,987.11 and 12,145.22

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Solution

The third proportional to 5,987.11 and 12,145.22 is: 24,637.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,987.11 : 12,145.22 = 12,145.22 : x
  2. Step 2: Convert to fraction form
    5,987.11/12,145.22 = 12,145.22/x
  3. Step 3: Cross multiply
    5,987.11x = 12,145.22 × 12,145.22
  4. Step 4: Simplify right side
    5,987.11x = 147,506,338.49
  5. Step 5: Solve for x
    x = 147,506,338.49/5,987.11
  6. Step 6: Final answer
    x = 24,637.32

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.