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Finding the Third Proportional to 15,747.50 and 33,271.50

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Solution

The third proportional to 15,747.50 and 33,271.50 is: 70,296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,747.50 : 33,271.50 = 33,271.50 : x
  2. Step 2: Convert to fraction form
    15,747.50/33,271.50 = 33,271.50/x
  3. Step 3: Cross multiply
    15,747.50x = 33,271.50 × 33,271.50
  4. Step 4: Simplify right side
    15,747.50x = 1,106,992,712.25
  5. Step 5: Solve for x
    x = 1,106,992,712.25/15,747.50
  6. Step 6: Final answer
    x = 70,296.41

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.