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Finding the Third Proportional to 6,667 and 15,434.50

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Solution

The third proportional to 6,667 and 15,434.50 is: 35,731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667 : 15,434.50 = 15,434.50 : x
  2. Step 2: Convert to fraction form
    6,667/15,434.50 = 15,434.50/x
  3. Step 3: Cross multiply
    6,667x = 15,434.50 × 15,434.50
  4. Step 4: Simplify right side
    6,667x = 238,223,790.25
  5. Step 5: Solve for x
    x = 238,223,790.25/6,667
  6. Step 6: Final answer
    x = 35,731.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.