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Finding the Third Proportional to 6,660 and 10,248.75

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Solution

The third proportional to 6,660 and 10,248.75 is: 15,771.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,660 : 10,248.75 = 10,248.75 : x
  2. Step 2: Convert to fraction form
    6,660/10,248.75 = 10,248.75/x
  3. Step 3: Cross multiply
    6,660x = 10,248.75 × 10,248.75
  4. Step 4: Simplify right side
    6,660x = 105,036,876.56
  5. Step 5: Solve for x
    x = 105,036,876.56/6,660
  6. Step 6: Final answer
    x = 15,771.30

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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.