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Finding the Third Proportional to 5,300 and 8,246

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Solution

The third proportional to 5,300 and 8,246 is: 12,829.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300 : 8,246 = 8,246 : x
  2. Step 2: Convert to fraction form
    5,300/8,246 = 8,246/x
  3. Step 3: Cross multiply
    5,300x = 8,246 × 8,246
  4. Step 4: Simplify right side
    5,300x = 67,996,516
  5. Step 5: Solve for x
    x = 67,996,516/5,300
  6. Step 6: Final answer
    x = 12,829.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.