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Finding the Third Proportional to 15,072.75 and 32,739.50

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Solution

The third proportional to 15,072.75 and 32,739.50 is: 71,113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,072.75 : 32,739.50 = 32,739.50 : x
  2. Step 2: Convert to fraction form
    15,072.75/32,739.50 = 32,739.50/x
  3. Step 3: Cross multiply
    15,072.75x = 32,739.50 × 32,739.50
  4. Step 4: Simplify right side
    15,072.75x = 1,071,874,860.25
  5. Step 5: Solve for x
    x = 1,071,874,860.25/15,072.75
  6. Step 6: Final answer
    x = 71,113.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.