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Finding the Third Proportional to 22,866 and 49,741.50

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Solution

The third proportional to 22,866 and 49,741.50 is: 108,205.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,866 : 49,741.50 = 49,741.50 : x
  2. Step 2: Convert to fraction form
    22,866/49,741.50 = 49,741.50/x
  3. Step 3: Cross multiply
    22,866x = 49,741.50 × 49,741.50
  4. Step 4: Simplify right side
    22,866x = 2,474,216,822.25
  5. Step 5: Solve for x
    x = 2,474,216,822.25/22,866
  6. Step 6: Final answer
    x = 108,205.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.