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Finding the Third Proportional to 22,297.50 and 42,543

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Solution

The third proportional to 22,297.50 and 42,543 is: 81,170.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,297.50 : 42,543 = 42,543 : x
  2. Step 2: Convert to fraction form
    22,297.50/42,543 = 42,543/x
  3. Step 3: Cross multiply
    22,297.50x = 42,543 × 42,543
  4. Step 4: Simplify right side
    22,297.50x = 1,809,906,849
  5. Step 5: Solve for x
    x = 1,809,906,849/22,297.50
  6. Step 6: Final answer
    x = 81,170.84

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.