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Finding the Third Proportional to 5,667 and 6,487.50

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Solution

The third proportional to 5,667 and 6,487.50 is: 7,426.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667 : 6,487.50 = 6,487.50 : x
  2. Step 2: Convert to fraction form
    5,667/6,487.50 = 6,487.50/x
  3. Step 3: Cross multiply
    5,667x = 6,487.50 × 6,487.50
  4. Step 4: Simplify right side
    5,667x = 42,087,656.25
  5. Step 5: Solve for x
    x = 42,087,656.25/5,667
  6. Step 6: Final answer
    x = 7,426.80

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.