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Finding the Third Proportional to 22,051 and 45,884

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Solution

The third proportional to 22,051 and 45,884 is: 95,476.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,051 : 45,884 = 45,884 : x
  2. Step 2: Convert to fraction form
    22,051/45,884 = 45,884/x
  3. Step 3: Cross multiply
    22,051x = 45,884 × 45,884
  4. Step 4: Simplify right side
    22,051x = 2,105,341,456
  5. Step 5: Solve for x
    x = 2,105,341,456/22,051
  6. Step 6: Final answer
    x = 95,476.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.