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Finding the Third Proportional to 31,207 and 47,853.50

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Solution

The third proportional to 31,207 and 47,853.50 is: 73,379.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,207 : 47,853.50 = 47,853.50 : x
  2. Step 2: Convert to fraction form
    31,207/47,853.50 = 47,853.50/x
  3. Step 3: Cross multiply
    31,207x = 47,853.50 × 47,853.50
  4. Step 4: Simplify right side
    31,207x = 2,289,957,462.25
  5. Step 5: Solve for x
    x = 2,289,957,462.25/31,207
  6. Step 6: Final answer
    x = 73,379.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.