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Finding the Third Proportional to 22,575.50 and 48,917

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Solution

The third proportional to 22,575.50 and 48,917 is: 105,994.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,575.50 : 48,917 = 48,917 : x
  2. Step 2: Convert to fraction form
    22,575.50/48,917 = 48,917/x
  3. Step 3: Cross multiply
    22,575.50x = 48,917 × 48,917
  4. Step 4: Simplify right side
    22,575.50x = 2,392,872,889
  5. Step 5: Solve for x
    x = 2,392,872,889/22,575.50
  6. Step 6: Final answer
    x = 105,994.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.