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Finding the Third Proportional to 943.17 and 1,347.05

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Solution

The third proportional to 943.17 and 1,347.05 is: 1,923.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.17 : 1,347.05 = 1,347.05 : x
  2. Step 2: Convert to fraction form
    943.17/1,347.05 = 1,347.05/x
  3. Step 3: Cross multiply
    943.17x = 1,347.05 × 1,347.05
  4. Step 4: Simplify right side
    943.17x = 1,814,535.28
  5. Step 5: Solve for x
    x = 1,814,535.28/943.17
  6. Step 6: Final answer
    x = 1,923.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.