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Finding the Third Proportional to 6,650 and 10,119.25

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Solution

The third proportional to 6,650 and 10,119.25 is: 15,398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650 : 10,119.25 = 10,119.25 : x
  2. Step 2: Convert to fraction form
    6,650/10,119.25 = 10,119.25/x
  3. Step 3: Cross multiply
    6,650x = 10,119.25 × 10,119.25
  4. Step 4: Simplify right side
    6,650x = 102,399,220.56
  5. Step 5: Solve for x
    x = 102,399,220.56/6,650
  6. Step 6: Final answer
    x = 15,398.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.