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Finding the Third Proportional to 32,386 and 69,740

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Solution

The third proportional to 32,386 and 69,740 is: 150,178.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,386 : 69,740 = 69,740 : x
  2. Step 2: Convert to fraction form
    32,386/69,740 = 69,740/x
  3. Step 3: Cross multiply
    32,386x = 69,740 × 69,740
  4. Step 4: Simplify right side
    32,386x = 4,863,667,600
  5. Step 5: Solve for x
    x = 4,863,667,600/32,386
  6. Step 6: Final answer
    x = 150,178.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.