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Finding the Third Proportional to 13,471 and 31,464

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Solution

The third proportional to 13,471 and 31,464 is: 73,489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471 : 31,464 = 31,464 : x
  2. Step 2: Convert to fraction form
    13,471/31,464 = 31,464/x
  3. Step 3: Cross multiply
    13,471x = 31,464 × 31,464
  4. Step 4: Simplify right side
    13,471x = 989,983,296
  5. Step 5: Solve for x
    x = 989,983,296/13,471
  6. Step 6: Final answer
    x = 73,489.96

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.