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Finding the Third Proportional to 31,203.56 and 44,152.03

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Solution

The third proportional to 31,203.56 and 44,152.03 is: 62,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,203.56 : 44,152.03 = 44,152.03 : x
  2. Step 2: Convert to fraction form
    31,203.56/44,152.03 = 44,152.03/x
  3. Step 3: Cross multiply
    31,203.56x = 44,152.03 × 44,152.03
  4. Step 4: Simplify right side
    31,203.56x = 1,949,401,863.50
  5. Step 5: Solve for x
    x = 1,949,401,863.50/31,203.56
  6. Step 6: Final answer
    x = 62,473.70

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.