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Finding the Third Proportional to 4,652 and 5,246

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Solution

The third proportional to 4,652 and 5,246 is: 5,915.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652 : 5,246 = 5,246 : x
  2. Step 2: Convert to fraction form
    4,652/5,246 = 5,246/x
  3. Step 3: Cross multiply
    4,652x = 5,246 × 5,246
  4. Step 4: Simplify right side
    4,652x = 27,520,516
  5. Step 5: Solve for x
    x = 27,520,516/4,652
  6. Step 6: Final answer
    x = 5,915.85

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.