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Finding the Third Proportional to 5,780.25 and 9,785.25

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Solution

The third proportional to 5,780.25 and 9,785.25 is: 16,565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.25 : 9,785.25 = 9,785.25 : x
  2. Step 2: Convert to fraction form
    5,780.25/9,785.25 = 9,785.25/x
  3. Step 3: Cross multiply
    5,780.25x = 9,785.25 × 9,785.25
  4. Step 4: Simplify right side
    5,780.25x = 95,751,117.56
  5. Step 5: Solve for x
    x = 95,751,117.56/5,780.25
  6. Step 6: Final answer
    x = 16,565.22

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.