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Finding the Third Proportional to 931.22 and 2,024.44

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Solution

The third proportional to 931.22 and 2,024.44 is: 4,401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.22 : 2,024.44 = 2,024.44 : x
  2. Step 2: Convert to fraction form
    931.22/2,024.44 = 2,024.44/x
  3. Step 3: Cross multiply
    931.22x = 2,024.44 × 2,024.44
  4. Step 4: Simplify right side
    931.22x = 4,098,347.19
  5. Step 5: Solve for x
    x = 4,098,347.19/931.22
  6. Step 6: Final answer
    x = 4,401.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.