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Finding the Third Proportional to 661.50 and 1,541.75

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Solution

The third proportional to 661.50 and 1,541.75 is: 3,593.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.50 : 1,541.75 = 1,541.75 : x
  2. Step 2: Convert to fraction form
    661.50/1,541.75 = 1,541.75/x
  3. Step 3: Cross multiply
    661.50x = 1,541.75 × 1,541.75
  4. Step 4: Simplify right side
    661.50x = 2,376,993.06
  5. Step 5: Solve for x
    x = 2,376,993.06/661.50
  6. Step 6: Final answer
    x = 3,593.34

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.