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Finding the Third Proportional to 31,388 and 44,003

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Solution

The third proportional to 31,388 and 44,003 is: 61,688.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,388 : 44,003 = 44,003 : x
  2. Step 2: Convert to fraction form
    31,388/44,003 = 44,003/x
  3. Step 3: Cross multiply
    31,388x = 44,003 × 44,003
  4. Step 4: Simplify right side
    31,388x = 1,936,264,009
  5. Step 5: Solve for x
    x = 1,936,264,009/31,388
  6. Step 6: Final answer
    x = 61,688.03

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.