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Finding the Third Proportional to 22,092.75 and 49,303.69

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Solution

The third proportional to 22,092.75 and 49,303.69 is: 110,029.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,092.75 : 49,303.69 = 49,303.69 : x
  2. Step 2: Convert to fraction form
    22,092.75/49,303.69 = 49,303.69/x
  3. Step 3: Cross multiply
    22,092.75x = 49,303.69 × 49,303.69
  4. Step 4: Simplify right side
    22,092.75x = 2,430,853,601.10
  5. Step 5: Solve for x
    x = 2,430,853,601.10/22,092.75
  6. Step 6: Final answer
    x = 110,029.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.