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Finding the Third Proportional to 944.16 and 2,024.37

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Solution

The third proportional to 944.16 and 2,024.37 is: 4,340.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.16 : 2,024.37 = 2,024.37 : x
  2. Step 2: Convert to fraction form
    944.16/2,024.37 = 2,024.37/x
  3. Step 3: Cross multiply
    944.16x = 2,024.37 × 2,024.37
  4. Step 4: Simplify right side
    944.16x = 4,098,062.51
  5. Step 5: Solve for x
    x = 4,098,062.51/944.16
  6. Step 6: Final answer
    x = 4,340.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.