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Finding the Third Proportional to 6,585 and 7,539

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Solution

The third proportional to 6,585 and 7,539 is: 8,631.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585 : 7,539 = 7,539 : x
  2. Step 2: Convert to fraction form
    6,585/7,539 = 7,539/x
  3. Step 3: Cross multiply
    6,585x = 7,539 × 7,539
  4. Step 4: Simplify right side
    6,585x = 56,836,521
  5. Step 5: Solve for x
    x = 56,836,521/6,585
  6. Step 6: Final answer
    x = 8,631.21

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.