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Finding the Third Proportional to 22,267.50 and 41,763

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Solution

The third proportional to 22,267.50 and 41,763 is: 78,327.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,267.50 : 41,763 = 41,763 : x
  2. Step 2: Convert to fraction form
    22,267.50/41,763 = 41,763/x
  3. Step 3: Cross multiply
    22,267.50x = 41,763 × 41,763
  4. Step 4: Simplify right side
    22,267.50x = 1,744,148,169
  5. Step 5: Solve for x
    x = 1,744,148,169/22,267.50
  6. Step 6: Final answer
    x = 78,327.08

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.