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Finding the Third Proportional to 1,943.16 and 3,000.80

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Solution

The third proportional to 1,943.16 and 3,000.80 is: 4,634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.16 : 3,000.80 = 3,000.80 : x
  2. Step 2: Convert to fraction form
    1,943.16/3,000.80 = 3,000.80/x
  3. Step 3: Cross multiply
    1,943.16x = 3,000.80 × 3,000.80
  4. Step 4: Simplify right side
    1,943.16x = 9,004,781.89
  5. Step 5: Solve for x
    x = 9,004,781.89/1,943.16
  6. Step 6: Final answer
    x = 4,634.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.