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Finding the Third Proportional to 4,766 and 5,486

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Solution

The third proportional to 4,766 and 5,486 is: 6,314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766 : 5,486 = 5,486 : x
  2. Step 2: Convert to fraction form
    4,766/5,486 = 5,486/x
  3. Step 3: Cross multiply
    4,766x = 5,486 × 5,486
  4. Step 4: Simplify right side
    4,766x = 30,096,196
  5. Step 5: Solve for x
    x = 30,096,196/4,766
  6. Step 6: Final answer
    x = 6,314.77

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.