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Finding the Third Proportional to 904.13 and 1,943.06

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Solution

The third proportional to 904.13 and 1,943.06 is: 4,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.13 : 1,943.06 = 1,943.06 : x
  2. Step 2: Convert to fraction form
    904.13/1,943.06 = 1,943.06/x
  3. Step 3: Cross multiply
    904.13x = 1,943.06 × 1,943.06
  4. Step 4: Simplify right side
    904.13x = 3,775,491.88
  5. Step 5: Solve for x
    x = 3,775,491.88/904.13
  6. Step 6: Final answer
    x = 4,175.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.