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Finding the Third Proportional to 31,971.50 and 44,719.50

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Solution

The third proportional to 31,971.50 and 44,719.50 is: 62,550.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,971.50 : 44,719.50 = 44,719.50 : x
  2. Step 2: Convert to fraction form
    31,971.50/44,719.50 = 44,719.50/x
  3. Step 3: Cross multiply
    31,971.50x = 44,719.50 × 44,719.50
  4. Step 4: Simplify right side
    31,971.50x = 1,999,833,680.25
  5. Step 5: Solve for x
    x = 1,999,833,680.25/31,971.50
  6. Step 6: Final answer
    x = 62,550.51

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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.