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Finding the Third Proportional to 9,959.63 and 21,675

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Solution

The third proportional to 9,959.63 and 21,675 is: 47,171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.63 : 21,675 = 21,675 : x
  2. Step 2: Convert to fraction form
    9,959.63/21,675 = 21,675/x
  3. Step 3: Cross multiply
    9,959.63x = 21,675 × 21,675
  4. Step 4: Simplify right side
    9,959.63x = 469,805,625
  5. Step 5: Solve for x
    x = 469,805,625/9,959.63
  6. Step 6: Final answer
    x = 47,171.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.