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Finding the Third Proportional to 729.42 and 1,475.93

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Solution

The third proportional to 729.42 and 1,475.93 is: 2,986.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.42 : 1,475.93 = 1,475.93 : x
  2. Step 2: Convert to fraction form
    729.42/1,475.93 = 1,475.93/x
  3. Step 3: Cross multiply
    729.42x = 1,475.93 × 1,475.93
  4. Step 4: Simplify right side
    729.42x = 2,178,368.44
  5. Step 5: Solve for x
    x = 2,178,368.44/729.42
  6. Step 6: Final answer
    x = 2,986.43

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.