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Finding the Third Proportional to 24,152 and 34,203

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Solution

The third proportional to 24,152 and 34,203 is: 48,436.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,152 : 34,203 = 34,203 : x
  2. Step 2: Convert to fraction form
    24,152/34,203 = 34,203/x
  3. Step 3: Cross multiply
    24,152x = 34,203 × 34,203
  4. Step 4: Simplify right side
    24,152x = 1,169,845,209
  5. Step 5: Solve for x
    x = 1,169,845,209/24,152
  6. Step 6: Final answer
    x = 48,436.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.