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Finding the Third Proportional to 16,040.25 and 38,642.63

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Solution

The third proportional to 16,040.25 and 38,642.63 is: 93,094.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,040.25 : 38,642.63 = 38,642.63 : x
  2. Step 2: Convert to fraction form
    16,040.25/38,642.63 = 38,642.63/x
  3. Step 3: Cross multiply
    16,040.25x = 38,642.63 × 38,642.63
  4. Step 4: Simplify right side
    16,040.25x = 1,493,252,466.89
  5. Step 5: Solve for x
    x = 1,493,252,466.89/16,040.25
  6. Step 6: Final answer
    x = 93,094.09

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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.