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Finding the Third Proportional to 9,945 and 25,476.75

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Solution

The third proportional to 9,945 and 25,476.75 is: 65,265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,945 : 25,476.75 = 25,476.75 : x
  2. Step 2: Convert to fraction form
    9,945/25,476.75 = 25,476.75/x
  3. Step 3: Cross multiply
    9,945x = 25,476.75 × 25,476.75
  4. Step 4: Simplify right side
    9,945x = 649,064,790.56
  5. Step 5: Solve for x
    x = 649,064,790.56/9,945
  6. Step 6: Final answer
    x = 65,265.44

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.