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Finding the Third Proportional to 31,423.38 and 43,955.19

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Solution

The third proportional to 31,423.38 and 43,955.19 is: 61,484.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,423.38 : 43,955.19 = 43,955.19 : x
  2. Step 2: Convert to fraction form
    31,423.38/43,955.19 = 43,955.19/x
  3. Step 3: Cross multiply
    31,423.38x = 43,955.19 × 43,955.19
  4. Step 4: Simplify right side
    31,423.38x = 1,932,058,508.16
  5. Step 5: Solve for x
    x = 1,932,058,508.16/31,423.38
  6. Step 6: Final answer
    x = 61,484.75

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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.