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Finding the Third Proportional to 31,162.50 and 46,778.63

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Solution

The third proportional to 31,162.50 and 46,778.63 is: 70,220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,162.50 : 46,778.63 = 46,778.63 : x
  2. Step 2: Convert to fraction form
    31,162.50/46,778.63 = 46,778.63/x
  3. Step 3: Cross multiply
    31,162.50x = 46,778.63 × 46,778.63
  4. Step 4: Simplify right side
    31,162.50x = 2,188,239,756.89
  5. Step 5: Solve for x
    x = 2,188,239,756.89/31,162.50
  6. Step 6: Final answer
    x = 70,220.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.