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Finding the Third Proportional to 22,467 and 32,971

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Solution

The third proportional to 22,467 and 32,971 is: 48,385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,467 : 32,971 = 32,971 : x
  2. Step 2: Convert to fraction form
    22,467/32,971 = 32,971/x
  3. Step 3: Cross multiply
    22,467x = 32,971 × 32,971
  4. Step 4: Simplify right side
    22,467x = 1,087,086,841
  5. Step 5: Solve for x
    x = 1,087,086,841/22,467
  6. Step 6: Final answer
    x = 48,385.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.