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Finding the Third Proportional to 22,991 and 49,263

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Solution

The third proportional to 22,991 and 49,263 is: 105,556.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,991 : 49,263 = 49,263 : x
  2. Step 2: Convert to fraction form
    22,991/49,263 = 49,263/x
  3. Step 3: Cross multiply
    22,991x = 49,263 × 49,263
  4. Step 4: Simplify right side
    22,991x = 2,426,843,169
  5. Step 5: Solve for x
    x = 2,426,843,169/22,991
  6. Step 6: Final answer
    x = 105,556.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.