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Finding the Third Proportional to 6,986.25 and 15,012.84

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Solution

The third proportional to 6,986.25 and 15,012.84 is: 32,261.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.25 : 15,012.84 = 15,012.84 : x
  2. Step 2: Convert to fraction form
    6,986.25/15,012.84 = 15,012.84/x
  3. Step 3: Cross multiply
    6,986.25x = 15,012.84 × 15,012.84
  4. Step 4: Simplify right side
    6,986.25x = 225,385,477.46
  5. Step 5: Solve for x
    x = 225,385,477.46/6,986.25
  6. Step 6: Final answer
    x = 32,261.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.