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Finding the Third Proportional to 32,271 and 67,497

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Solution

The third proportional to 32,271 and 67,497 is: 141,174.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,271 : 67,497 = 67,497 : x
  2. Step 2: Convert to fraction form
    32,271/67,497 = 67,497/x
  3. Step 3: Cross multiply
    32,271x = 67,497 × 67,497
  4. Step 4: Simplify right side
    32,271x = 4,555,845,009
  5. Step 5: Solve for x
    x = 4,555,845,009/32,271
  6. Step 6: Final answer
    x = 141,174.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.