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Finding the Third Proportional to 22,033.50 and 42,960

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Solution

The third proportional to 22,033.50 and 42,960 is: 83,761.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,033.50 : 42,960 = 42,960 : x
  2. Step 2: Convert to fraction form
    22,033.50/42,960 = 42,960/x
  3. Step 3: Cross multiply
    22,033.50x = 42,960 × 42,960
  4. Step 4: Simplify right side
    22,033.50x = 1,845,561,600
  5. Step 5: Solve for x
    x = 1,845,561,600/22,033.50
  6. Step 6: Final answer
    x = 83,761.62

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.