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Finding the Third Proportional to 13,441.57 and 31,393.83

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Solution

The third proportional to 13,441.57 and 31,393.83 is: 73,322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,441.57 : 31,393.83 = 31,393.83 : x
  2. Step 2: Convert to fraction form
    13,441.57/31,393.83 = 31,393.83/x
  3. Step 3: Cross multiply
    13,441.57x = 31,393.83 × 31,393.83
  4. Step 4: Simplify right side
    13,441.57x = 985,572,444.34
  5. Step 5: Solve for x
    x = 985,572,444.34/13,441.57
  6. Step 6: Final answer
    x = 73,322.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.