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Finding the Third Proportional to 15,681.75 and 33,521.25

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Solution

The third proportional to 15,681.75 and 33,521.25 is: 71,654.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,681.75 : 33,521.25 = 33,521.25 : x
  2. Step 2: Convert to fraction form
    15,681.75/33,521.25 = 33,521.25/x
  3. Step 3: Cross multiply
    15,681.75x = 33,521.25 × 33,521.25
  4. Step 4: Simplify right side
    15,681.75x = 1,123,674,201.56
  5. Step 5: Solve for x
    x = 1,123,674,201.56/15,681.75
  6. Step 6: Final answer
    x = 71,654.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.