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Finding the Third Proportional to 31,063.50 and 44,388

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Solution

The third proportional to 31,063.50 and 44,388 is: 63,427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,063.50 : 44,388 = 44,388 : x
  2. Step 2: Convert to fraction form
    31,063.50/44,388 = 44,388/x
  3. Step 3: Cross multiply
    31,063.50x = 44,388 × 44,388
  4. Step 4: Simplify right side
    31,063.50x = 1,970,294,544
  5. Step 5: Solve for x
    x = 1,970,294,544/31,063.50
  6. Step 6: Final answer
    x = 63,427.96

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.