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Finding the Third Proportional to 31,111 and 48,251

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Solution

The third proportional to 31,111 and 48,251 is: 74,833.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,111 : 48,251 = 48,251 : x
  2. Step 2: Convert to fraction form
    31,111/48,251 = 48,251/x
  3. Step 3: Cross multiply
    31,111x = 48,251 × 48,251
  4. Step 4: Simplify right side
    31,111x = 2,328,159,001
  5. Step 5: Solve for x
    x = 2,328,159,001/31,111
  6. Step 6: Final answer
    x = 74,833.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.