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Finding the Third Proportional to 7,261.52 and 15,832.97

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Solution

The third proportional to 7,261.52 and 15,832.97 is: 34,522.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261.52 : 15,832.97 = 15,832.97 : x
  2. Step 2: Convert to fraction form
    7,261.52/15,832.97 = 15,832.97/x
  3. Step 3: Cross multiply
    7,261.52x = 15,832.97 × 15,832.97
  4. Step 4: Simplify right side
    7,261.52x = 250,682,899.44
  5. Step 5: Solve for x
    x = 250,682,899.44/7,261.52
  6. Step 6: Final answer
    x = 34,522.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.