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Finding the Third Proportional to 943.17 and 2,038.08

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Solution

The third proportional to 943.17 and 2,038.08 is: 4,404.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.17 : 2,038.08 = 2,038.08 : x
  2. Step 2: Convert to fraction form
    943.17/2,038.08 = 2,038.08/x
  3. Step 3: Cross multiply
    943.17x = 2,038.08 × 2,038.08
  4. Step 4: Simplify right side
    943.17x = 4,153,762.44
  5. Step 5: Solve for x
    x = 4,153,762.44/943.17
  6. Step 6: Final answer
    x = 4,404.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.