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Finding the Third Proportional to 6,725.25 and 15,989.63

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Solution

The third proportional to 6,725.25 and 15,989.63 is: 38,016.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.25 : 15,989.63 = 15,989.63 : x
  2. Step 2: Convert to fraction form
    6,725.25/15,989.63 = 15,989.63/x
  3. Step 3: Cross multiply
    6,725.25x = 15,989.63 × 15,989.63
  4. Step 4: Simplify right side
    6,725.25x = 255,668,107.64
  5. Step 5: Solve for x
    x = 255,668,107.64/6,725.25
  6. Step 6: Final answer
    x = 38,016.15

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.