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Finding the Third Proportional to 22,002 and 51,888

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Solution

The third proportional to 22,002 and 51,888 is: 122,369.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,002 : 51,888 = 51,888 : x
  2. Step 2: Convert to fraction form
    22,002/51,888 = 51,888/x
  3. Step 3: Cross multiply
    22,002x = 51,888 × 51,888
  4. Step 4: Simplify right side
    22,002x = 2,692,364,544
  5. Step 5: Solve for x
    x = 2,692,364,544/22,002
  6. Step 6: Final answer
    x = 122,369.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.