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Finding the Third Proportional to 21,318.19 and 29,782.69

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Solution

The third proportional to 21,318.19 and 29,782.69 is: 41,608.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,318.19 : 29,782.69 = 29,782.69 : x
  2. Step 2: Convert to fraction form
    21,318.19/29,782.69 = 29,782.69/x
  3. Step 3: Cross multiply
    21,318.19x = 29,782.69 × 29,782.69
  4. Step 4: Simplify right side
    21,318.19x = 887,008,474.72
  5. Step 5: Solve for x
    x = 887,008,474.72/21,318.19
  6. Step 6: Final answer
    x = 41,608.06

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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.