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Finding the Third Proportional to 35,995.50 and 74,755

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Solution

The third proportional to 35,995.50 and 74,755 is: 155,250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,995.50 : 74,755 = 74,755 : x
  2. Step 2: Convert to fraction form
    35,995.50/74,755 = 74,755/x
  3. Step 3: Cross multiply
    35,995.50x = 74,755 × 74,755
  4. Step 4: Simplify right side
    35,995.50x = 5,588,310,025
  5. Step 5: Solve for x
    x = 5,588,310,025/35,995.50
  6. Step 6: Final answer
    x = 155,250.24

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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.