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Finding the Third Proportional to 6,967.13 and 15,022.69

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Solution

The third proportional to 6,967.13 and 15,022.69 is: 32,392.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.13 : 15,022.69 = 15,022.69 : x
  2. Step 2: Convert to fraction form
    6,967.13/15,022.69 = 15,022.69/x
  3. Step 3: Cross multiply
    6,967.13x = 15,022.69 × 15,022.69
  4. Step 4: Simplify right side
    6,967.13x = 225,681,139.72
  5. Step 5: Solve for x
    x = 225,681,139.72/6,967.13
  6. Step 6: Final answer
    x = 32,392.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.