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Finding the Third Proportional to 4,565.25 and 6,069.38

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Solution

The third proportional to 4,565.25 and 6,069.38 is: 8,069.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.25 : 6,069.38 = 6,069.38 : x
  2. Step 2: Convert to fraction form
    4,565.25/6,069.38 = 6,069.38/x
  3. Step 3: Cross multiply
    4,565.25x = 6,069.38 × 6,069.38
  4. Step 4: Simplify right side
    4,565.25x = 36,837,312.89
  5. Step 5: Solve for x
    x = 36,837,312.89/4,565.25
  6. Step 6: Final answer
    x = 8,069.07

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.