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Finding the Third Proportional to 22,671 and 34,800.75

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Solution

The third proportional to 22,671 and 34,800.75 is: 53,420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,671 : 34,800.75 = 34,800.75 : x
  2. Step 2: Convert to fraction form
    22,671/34,800.75 = 34,800.75/x
  3. Step 3: Cross multiply
    22,671x = 34,800.75 × 34,800.75
  4. Step 4: Simplify right side
    22,671x = 1,211,092,200.56
  5. Step 5: Solve for x
    x = 1,211,092,200.56/22,671
  6. Step 6: Final answer
    x = 53,420.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.