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Finding the Third Proportional to 9,725 and 15,017

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Solution

The third proportional to 9,725 and 15,017 is: 23,188.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725 : 15,017 = 15,017 : x
  2. Step 2: Convert to fraction form
    9,725/15,017 = 15,017/x
  3. Step 3: Cross multiply
    9,725x = 15,017 × 15,017
  4. Step 4: Simplify right side
    9,725x = 225,510,289
  5. Step 5: Solve for x
    x = 225,510,289/9,725
  6. Step 6: Final answer
    x = 23,188.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.