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Finding the Third Proportional to 22,471 and 33,985

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Solution

The third proportional to 22,471 and 33,985 is: 51,398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471 : 33,985 = 33,985 : x
  2. Step 2: Convert to fraction form
    22,471/33,985 = 33,985/x
  3. Step 3: Cross multiply
    22,471x = 33,985 × 33,985
  4. Step 4: Simplify right side
    22,471x = 1,154,980,225
  5. Step 5: Solve for x
    x = 1,154,980,225/22,471
  6. Step 6: Final answer
    x = 51,398.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.