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Finding the Third Proportional to 24,106 and 33,471

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Solution

The third proportional to 24,106 and 33,471 is: 46,474.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,106 : 33,471 = 33,471 : x
  2. Step 2: Convert to fraction form
    24,106/33,471 = 33,471/x
  3. Step 3: Cross multiply
    24,106x = 33,471 × 33,471
  4. Step 4: Simplify right side
    24,106x = 1,120,307,841
  5. Step 5: Solve for x
    x = 1,120,307,841/24,106
  6. Step 6: Final answer
    x = 46,474.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.