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Finding the Third Proportional to 943.95 and 2,063.18

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Solution

The third proportional to 943.95 and 2,063.18 is: 4,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.95 : 2,063.18 = 2,063.18 : x
  2. Step 2: Convert to fraction form
    943.95/2,063.18 = 2,063.18/x
  3. Step 3: Cross multiply
    943.95x = 2,063.18 × 2,063.18
  4. Step 4: Simplify right side
    943.95x = 4,256,710.42
  5. Step 5: Solve for x
    x = 4,256,710.42/943.95
  6. Step 6: Final answer
    x = 4,509.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.