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Finding the Third Proportional to 8,157.50 and 15,667

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Solution

The third proportional to 8,157.50 and 15,667 is: 30,089.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.50 : 15,667 = 15,667 : x
  2. Step 2: Convert to fraction form
    8,157.50/15,667 = 15,667/x
  3. Step 3: Cross multiply
    8,157.50x = 15,667 × 15,667
  4. Step 4: Simplify right side
    8,157.50x = 245,454,889
  5. Step 5: Solve for x
    x = 245,454,889/8,157.50
  6. Step 6: Final answer
    x = 30,089.47

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.