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Finding the Third Proportional to 5,565.75 and 6,285.75

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Solution

The third proportional to 5,565.75 and 6,285.75 is: 7,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.75 : 6,285.75 = 6,285.75 : x
  2. Step 2: Convert to fraction form
    5,565.75/6,285.75 = 6,285.75/x
  3. Step 3: Cross multiply
    5,565.75x = 6,285.75 × 6,285.75
  4. Step 4: Simplify right side
    5,565.75x = 39,510,653.06
  5. Step 5: Solve for x
    x = 39,510,653.06/5,565.75
  6. Step 6: Final answer
    x = 7,098.89

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.