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Finding the Third Proportional to 6,965.72 and 15,315.19

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Solution

The third proportional to 6,965.72 and 15,315.19 is: 33,672.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.72 : 15,315.19 = 15,315.19 : x
  2. Step 2: Convert to fraction form
    6,965.72/15,315.19 = 15,315.19/x
  3. Step 3: Cross multiply
    6,965.72x = 15,315.19 × 15,315.19
  4. Step 4: Simplify right side
    6,965.72x = 234,554,968.16
  5. Step 5: Solve for x
    x = 234,554,968.16/6,965.72
  6. Step 6: Final answer
    x = 33,672.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.