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Finding the Third Proportional to 5,919.75 and 13,705.88

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Solution

The third proportional to 5,919.75 and 13,705.88 is: 31,732.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,919.75 : 13,705.88 = 13,705.88 : x
  2. Step 2: Convert to fraction form
    5,919.75/13,705.88 = 13,705.88/x
  3. Step 3: Cross multiply
    5,919.75x = 13,705.88 × 13,705.88
  4. Step 4: Simplify right side
    5,919.75x = 187,851,009.52
  5. Step 5: Solve for x
    x = 187,851,009.52/5,919.75
  6. Step 6: Final answer
    x = 31,732.93

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.