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Finding the Third Proportional to 7,331.77 and 15,471.32

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Solution

The third proportional to 7,331.77 and 15,471.32 is: 32,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,331.77 : 15,471.32 = 15,471.32 : x
  2. Step 2: Convert to fraction form
    7,331.77/15,471.32 = 15,471.32/x
  3. Step 3: Cross multiply
    7,331.77x = 15,471.32 × 15,471.32
  4. Step 4: Simplify right side
    7,331.77x = 239,361,631.34
  5. Step 5: Solve for x
    x = 239,361,631.34/7,331.77
  6. Step 6: Final answer
    x = 32,647.20

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Why These Related Problems?

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