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Finding the Third Proportional to 13,840.88 and 32,493.66

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Solution

The third proportional to 13,840.88 and 32,493.66 is: 76,284.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.88 : 32,493.66 = 32,493.66 : x
  2. Step 2: Convert to fraction form
    13,840.88/32,493.66 = 32,493.66/x
  3. Step 3: Cross multiply
    13,840.88x = 32,493.66 × 32,493.66
  4. Step 4: Simplify right side
    13,840.88x = 1,055,837,696.49
  5. Step 5: Solve for x
    x = 1,055,837,696.49/13,840.88
  6. Step 6: Final answer
    x = 76,284.03

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.