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Finding the Third Proportional to 31,418.19 and 43,948.83

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Solution

The third proportional to 31,418.19 and 43,948.83 is: 61,477.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,418.19 : 43,948.83 = 43,948.83 : x
  2. Step 2: Convert to fraction form
    31,418.19/43,948.83 = 43,948.83/x
  3. Step 3: Cross multiply
    31,418.19x = 43,948.83 × 43,948.83
  4. Step 4: Simplify right side
    31,418.19x = 1,931,499,493.56
  5. Step 5: Solve for x
    x = 1,931,499,493.56/31,418.19
  6. Step 6: Final answer
    x = 61,477.11

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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.