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Finding the Third Proportional to 31,134.44 and 64,484.13

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Solution

The third proportional to 31,134.44 and 64,484.13 is: 133,556.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,134.44 : 64,484.13 = 64,484.13 : x
  2. Step 2: Convert to fraction form
    31,134.44/64,484.13 = 64,484.13/x
  3. Step 3: Cross multiply
    31,134.44x = 64,484.13 × 64,484.13
  4. Step 4: Simplify right side
    31,134.44x = 4,158,202,377.02
  5. Step 5: Solve for x
    x = 4,158,202,377.02/31,134.44
  6. Step 6: Final answer
    x = 133,556.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.