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Finding the Third Proportional to 15,338.11 and 32,893.59

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Solution

The third proportional to 15,338.11 and 32,893.59 is: 70,542.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,338.11 : 32,893.59 = 32,893.59 : x
  2. Step 2: Convert to fraction form
    15,338.11/32,893.59 = 32,893.59/x
  3. Step 3: Cross multiply
    15,338.11x = 32,893.59 × 32,893.59
  4. Step 4: Simplify right side
    15,338.11x = 1,081,988,509.79
  5. Step 5: Solve for x
    x = 1,081,988,509.79/15,338.11
  6. Step 6: Final answer
    x = 70,542.50

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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.