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Finding the Third Proportional to 23,414 and 31,221

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Solution

The third proportional to 23,414 and 31,221 is: 41,631.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,414 : 31,221 = 31,221 : x
  2. Step 2: Convert to fraction form
    23,414/31,221 = 31,221/x
  3. Step 3: Cross multiply
    23,414x = 31,221 × 31,221
  4. Step 4: Simplify right side
    23,414x = 974,750,841
  5. Step 5: Solve for x
    x = 974,750,841/23,414
  6. Step 6: Final answer
    x = 41,631.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.