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Finding the Third Proportional to 51,630 and 69,667

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Solution

The third proportional to 51,630 and 69,667 is: 94,005.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,630 : 69,667 = 69,667 : x
  2. Step 2: Convert to fraction form
    51,630/69,667 = 69,667/x
  3. Step 3: Cross multiply
    51,630x = 69,667 × 69,667
  4. Step 4: Simplify right side
    51,630x = 4,853,490,889
  5. Step 5: Solve for x
    x = 4,853,490,889/51,630
  6. Step 6: Final answer
    x = 94,005.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.