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Finding the Third Proportional to 33,108.50 and 42,511

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Solution

The third proportional to 33,108.50 and 42,511 is: 54,583.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,108.50 : 42,511 = 42,511 : x
  2. Step 2: Convert to fraction form
    33,108.50/42,511 = 42,511/x
  3. Step 3: Cross multiply
    33,108.50x = 42,511 × 42,511
  4. Step 4: Simplify right side
    33,108.50x = 1,807,185,121
  5. Step 5: Solve for x
    x = 1,807,185,121/33,108.50
  6. Step 6: Final answer
    x = 54,583.72

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.