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Finding the Third Proportional to 6,080 and 6,584

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Solution

The third proportional to 6,080 and 6,584 is: 7,129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,080 : 6,584 = 6,584 : x
  2. Step 2: Convert to fraction form
    6,080/6,584 = 6,584/x
  3. Step 3: Cross multiply
    6,080x = 6,584 × 6,584
  4. Step 4: Simplify right side
    6,080x = 43,349,056
  5. Step 5: Solve for x
    x = 43,349,056/6,080
  6. Step 6: Final answer
    x = 7,129.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.