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Finding the Third Proportional to 6,585 and 7,569

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Solution

The third proportional to 6,585 and 7,569 is: 8,700.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585 : 7,569 = 7,569 : x
  2. Step 2: Convert to fraction form
    6,585/7,569 = 7,569/x
  3. Step 3: Cross multiply
    6,585x = 7,569 × 7,569
  4. Step 4: Simplify right side
    6,585x = 57,289,761
  5. Step 5: Solve for x
    x = 57,289,761/6,585
  6. Step 6: Final answer
    x = 8,700.04

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.