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Finding the Third Proportional to 5,758.59 and 13,881.38

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Solution

The third proportional to 5,758.59 and 13,881.38 is: 33,461.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.59 : 13,881.38 = 13,881.38 : x
  2. Step 2: Convert to fraction form
    5,758.59/13,881.38 = 13,881.38/x
  3. Step 3: Cross multiply
    5,758.59x = 13,881.38 × 13,881.38
  4. Step 4: Simplify right side
    5,758.59x = 192,692,571.89
  5. Step 5: Solve for x
    x = 192,692,571.89/5,758.59
  6. Step 6: Final answer
    x = 33,461.74

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.