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Finding the Third Proportional to 1,445.91 and 3,134.81

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Solution

The third proportional to 1,445.91 and 3,134.81 is: 6,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.91 : 3,134.81 = 3,134.81 : x
  2. Step 2: Convert to fraction form
    1,445.91/3,134.81 = 3,134.81/x
  3. Step 3: Cross multiply
    1,445.91x = 3,134.81 × 3,134.81
  4. Step 4: Simplify right side
    1,445.91x = 9,827,049.41
  5. Step 5: Solve for x
    x = 9,827,049.41/1,445.91
  6. Step 6: Final answer
    x = 6,796.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.