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Finding the Third Proportional to 15,309 and 33,659.30

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Solution

The third proportional to 15,309 and 33,659.30 is: 74,005.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,309 : 33,659.30 = 33,659.30 : x
  2. Step 2: Convert to fraction form
    15,309/33,659.30 = 33,659.30/x
  3. Step 3: Cross multiply
    15,309x = 33,659.30 × 33,659.30
  4. Step 4: Simplify right side
    15,309x = 1,132,948,266.12
  5. Step 5: Solve for x
    x = 1,132,948,266.12/15,309
  6. Step 6: Final answer
    x = 74,005.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.