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Finding the Third Proportional to 927.53 and 1,984.79

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Solution

The third proportional to 927.53 and 1,984.79 is: 4,247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.53 : 1,984.79 = 1,984.79 : x
  2. Step 2: Convert to fraction form
    927.53/1,984.79 = 1,984.79/x
  3. Step 3: Cross multiply
    927.53x = 1,984.79 × 1,984.79
  4. Step 4: Simplify right side
    927.53x = 3,939,398.04
  5. Step 5: Solve for x
    x = 3,939,398.04/927.53
  6. Step 6: Final answer
    x = 4,247.21

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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.