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Finding the Third Proportional to 35,805.50 and 74,552

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Solution

The third proportional to 35,805.50 and 74,552 is: 155,227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,805.50 : 74,552 = 74,552 : x
  2. Step 2: Convert to fraction form
    35,805.50/74,552 = 74,552/x
  3. Step 3: Cross multiply
    35,805.50x = 74,552 × 74,552
  4. Step 4: Simplify right side
    35,805.50x = 5,558,000,704
  5. Step 5: Solve for x
    x = 5,558,000,704/35,805.50
  6. Step 6: Final answer
    x = 155,227.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.