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Finding the Third Proportional to 4,036.32 and 8,561.24

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Solution

The third proportional to 4,036.32 and 8,561.24 is: 18,158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,036.32 : 8,561.24 = 8,561.24 : x
  2. Step 2: Convert to fraction form
    4,036.32/8,561.24 = 8,561.24/x
  3. Step 3: Cross multiply
    4,036.32x = 8,561.24 × 8,561.24
  4. Step 4: Simplify right side
    4,036.32x = 73,294,851.07
  5. Step 5: Solve for x
    x = 73,294,851.07/4,036.32
  6. Step 6: Final answer
    x = 18,158.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.