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Finding the Third Proportional to 10,275 and 23,649

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Solution

The third proportional to 10,275 and 23,649 is: 54,430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275 : 23,649 = 23,649 : x
  2. Step 2: Convert to fraction form
    10,275/23,649 = 23,649/x
  3. Step 3: Cross multiply
    10,275x = 23,649 × 23,649
  4. Step 4: Simplify right side
    10,275x = 559,275,201
  5. Step 5: Solve for x
    x = 559,275,201/10,275
  6. Step 6: Final answer
    x = 54,430.68

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.