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Finding the Third Proportional to 31,367.25 and 64,263

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Solution

The third proportional to 31,367.25 and 64,263 is: 131,657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,367.25 : 64,263 = 64,263 : x
  2. Step 2: Convert to fraction form
    31,367.25/64,263 = 64,263/x
  3. Step 3: Cross multiply
    31,367.25x = 64,263 × 64,263
  4. Step 4: Simplify right side
    31,367.25x = 4,129,733,169
  5. Step 5: Solve for x
    x = 4,129,733,169/31,367.25
  6. Step 6: Final answer
    x = 131,657.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.