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Finding the Third Proportional to 10,149.75 and 15,944.06

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Solution

The third proportional to 10,149.75 and 15,944.06 is: 25,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.75 : 15,944.06 = 15,944.06 : x
  2. Step 2: Convert to fraction form
    10,149.75/15,944.06 = 15,944.06/x
  3. Step 3: Cross multiply
    10,149.75x = 15,944.06 × 15,944.06
  4. Step 4: Simplify right side
    10,149.75x = 254,213,129.00
  5. Step 5: Solve for x
    x = 254,213,129.00/10,149.75
  6. Step 6: Final answer
    x = 25,046.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.