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Finding the Third Proportional to 46,233 and 66,479

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Solution

The third proportional to 46,233 and 66,479 is: 95,590.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,233 : 66,479 = 66,479 : x
  2. Step 2: Convert to fraction form
    46,233/66,479 = 66,479/x
  3. Step 3: Cross multiply
    46,233x = 66,479 × 66,479
  4. Step 4: Simplify right side
    46,233x = 4,419,457,441
  5. Step 5: Solve for x
    x = 4,419,457,441/46,233
  6. Step 6: Final answer
    x = 95,590.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.