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Finding the Third Proportional to 13,658.63 and 20,584.13

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Solution

The third proportional to 13,658.63 and 20,584.13 is: 31,021.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.63 : 20,584.13 = 20,584.13 : x
  2. Step 2: Convert to fraction form
    13,658.63/20,584.13 = 20,584.13/x
  3. Step 3: Cross multiply
    13,658.63x = 20,584.13 × 20,584.13
  4. Step 4: Simplify right side
    13,658.63x = 423,706,202.02
  5. Step 5: Solve for x
    x = 423,706,202.02/13,658.63
  6. Step 6: Final answer
    x = 31,021.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.