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Finding the Third Proportional to 7,272.10 and 15,692.10

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Solution

The third proportional to 7,272.10 and 15,692.10 is: 33,861.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,272.10 : 15,692.10 = 15,692.10 : x
  2. Step 2: Convert to fraction form
    7,272.10/15,692.10 = 15,692.10/x
  3. Step 3: Cross multiply
    7,272.10x = 15,692.10 × 15,692.10
  4. Step 4: Simplify right side
    7,272.10x = 246,241,963.33
  5. Step 5: Solve for x
    x = 246,241,963.33/7,272.10
  6. Step 6: Final answer
    x = 33,861.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.