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Finding the Third Proportional to 23,091.75 and 49,637

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Solution

The third proportional to 23,091.75 and 49,637 is: 106,697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,091.75 : 49,637 = 49,637 : x
  2. Step 2: Convert to fraction form
    23,091.75/49,637 = 49,637/x
  3. Step 3: Cross multiply
    23,091.75x = 49,637 × 49,637
  4. Step 4: Simplify right side
    23,091.75x = 2,463,831,769
  5. Step 5: Solve for x
    x = 2,463,831,769/23,091.75
  6. Step 6: Final answer
    x = 106,697.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.