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Finding the Third Proportional to 9,707 and 20,959.75

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Solution

The third proportional to 9,707 and 20,959.75 is: 45,257.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707 : 20,959.75 = 20,959.75 : x
  2. Step 2: Convert to fraction form
    9,707/20,959.75 = 20,959.75/x
  3. Step 3: Cross multiply
    9,707x = 20,959.75 × 20,959.75
  4. Step 4: Simplify right side
    9,707x = 439,311,120.06
  5. Step 5: Solve for x
    x = 439,311,120.06/9,707
  6. Step 6: Final answer
    x = 45,257.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.