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Finding the Third Proportional to 23,893.73 and 49,746.66

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Solution

The third proportional to 23,893.73 and 49,746.66 is: 103,572.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,893.73 : 49,746.66 = 49,746.66 : x
  2. Step 2: Convert to fraction form
    23,893.73/49,746.66 = 49,746.66/x
  3. Step 3: Cross multiply
    23,893.73x = 49,746.66 × 49,746.66
  4. Step 4: Simplify right side
    23,893.73x = 2,474,729,808.06
  5. Step 5: Solve for x
    x = 2,474,729,808.06/23,893.73
  6. Step 6: Final answer
    x = 103,572.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.