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Finding the Third Proportional to 22,826.50 and 48,875

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Solution

The third proportional to 22,826.50 and 48,875 is: 104,648.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,826.50 : 48,875 = 48,875 : x
  2. Step 2: Convert to fraction form
    22,826.50/48,875 = 48,875/x
  3. Step 3: Cross multiply
    22,826.50x = 48,875 × 48,875
  4. Step 4: Simplify right side
    22,826.50x = 2,388,765,625
  5. Step 5: Solve for x
    x = 2,388,765,625/22,826.50
  6. Step 6: Final answer
    x = 104,648.79

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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.