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Finding the Third Proportional to 32,667 and 70,518

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Solution

The third proportional to 32,667 and 70,518 is: 152,226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,667 : 70,518 = 70,518 : x
  2. Step 2: Convert to fraction form
    32,667/70,518 = 70,518/x
  3. Step 3: Cross multiply
    32,667x = 70,518 × 70,518
  4. Step 4: Simplify right side
    32,667x = 4,972,788,324
  5. Step 5: Solve for x
    x = 4,972,788,324/32,667
  6. Step 6: Final answer
    x = 152,226.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.