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Finding the Third Proportional to 13,668.75 and 32,599.97

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Solution

The third proportional to 13,668.75 and 32,599.97 is: 77,750.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,668.75 : 32,599.97 = 32,599.97 : x
  2. Step 2: Convert to fraction form
    13,668.75/32,599.97 = 32,599.97/x
  3. Step 3: Cross multiply
    13,668.75x = 32,599.97 × 32,599.97
  4. Step 4: Simplify right side
    13,668.75x = 1,062,757,962.50
  5. Step 5: Solve for x
    x = 1,062,757,962.50/13,668.75
  6. Step 6: Final answer
    x = 77,750.93

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.