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Finding the Third Proportional to 6,584 and 9,246

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Solution

The third proportional to 6,584 and 9,246 is: 12,984.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584 : 9,246 = 9,246 : x
  2. Step 2: Convert to fraction form
    6,584/9,246 = 9,246/x
  3. Step 3: Cross multiply
    6,584x = 9,246 × 9,246
  4. Step 4: Simplify right side
    6,584x = 85,488,516
  5. Step 5: Solve for x
    x = 85,488,516/6,584
  6. Step 6: Final answer
    x = 12,984.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.