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Finding the Third Proportional to 32,467 and 67,430

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Solution

The third proportional to 32,467 and 67,430 is: 140,043.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,467 : 67,430 = 67,430 : x
  2. Step 2: Convert to fraction form
    32,467/67,430 = 67,430/x
  3. Step 3: Cross multiply
    32,467x = 67,430 × 67,430
  4. Step 4: Simplify right side
    32,467x = 4,546,804,900
  5. Step 5: Solve for x
    x = 4,546,804,900/32,467
  6. Step 6: Final answer
    x = 140,043.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.