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Finding the Third Proportional to 11,868.19 and 21,790.69

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Solution

The third proportional to 11,868.19 and 21,790.69 is: 40,008.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.19 : 21,790.69 = 21,790.69 : x
  2. Step 2: Convert to fraction form
    11,868.19/21,790.69 = 21,790.69/x
  3. Step 3: Cross multiply
    11,868.19x = 21,790.69 × 21,790.69
  4. Step 4: Simplify right side
    11,868.19x = 474,834,061.72
  5. Step 5: Solve for x
    x = 474,834,061.72/11,868.19
  6. Step 6: Final answer
    x = 40,008.98

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.