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Finding the Third Proportional to 34,932.19 and 49,381.03

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Solution

The third proportional to 34,932.19 and 49,381.03 is: 69,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,932.19 : 49,381.03 = 49,381.03 : x
  2. Step 2: Convert to fraction form
    34,932.19/49,381.03 = 49,381.03/x
  3. Step 3: Cross multiply
    34,932.19x = 49,381.03 × 49,381.03
  4. Step 4: Simplify right side
    34,932.19x = 2,438,486,247.31
  5. Step 5: Solve for x
    x = 2,438,486,247.31/34,932.19
  6. Step 6: Final answer
    x = 69,806.29

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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.