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Finding the Third Proportional to 9,565.88 and 20,826

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Solution

The third proportional to 9,565.88 and 20,826 is: 45,340.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.88 : 20,826 = 20,826 : x
  2. Step 2: Convert to fraction form
    9,565.88/20,826 = 20,826/x
  3. Step 3: Cross multiply
    9,565.88x = 20,826 × 20,826
  4. Step 4: Simplify right side
    9,565.88x = 433,722,276
  5. Step 5: Solve for x
    x = 433,722,276/9,565.88
  6. Step 6: Final answer
    x = 45,340.58

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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.