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Finding the Third Proportional to 13,380.19 and 21,915.56

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Solution

The third proportional to 13,380.19 and 21,915.56 is: 35,895.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.19 : 21,915.56 = 21,915.56 : x
  2. Step 2: Convert to fraction form
    13,380.19/21,915.56 = 21,915.56/x
  3. Step 3: Cross multiply
    13,380.19x = 21,915.56 × 21,915.56
  4. Step 4: Simplify right side
    13,380.19x = 480,291,879.69
  5. Step 5: Solve for x
    x = 480,291,879.69/13,380.19
  6. Step 6: Final answer
    x = 35,895.75

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.