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Finding the Third Proportional to 5,185 and 8,246

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Solution

The third proportional to 5,185 and 8,246 is: 13,114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185 : 8,246 = 8,246 : x
  2. Step 2: Convert to fraction form
    5,185/8,246 = 8,246/x
  3. Step 3: Cross multiply
    5,185x = 8,246 × 8,246
  4. Step 4: Simplify right side
    5,185x = 67,996,516
  5. Step 5: Solve for x
    x = 67,996,516/5,185
  6. Step 6: Final answer
    x = 13,114.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.