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Finding the Third Proportional to 7,932.94 and 17,235.28

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Solution

The third proportional to 7,932.94 and 17,235.28 is: 37,445.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.94 : 17,235.28 = 17,235.28 : x
  2. Step 2: Convert to fraction form
    7,932.94/17,235.28 = 17,235.28/x
  3. Step 3: Cross multiply
    7,932.94x = 17,235.28 × 17,235.28
  4. Step 4: Simplify right side
    7,932.94x = 297,054,919.77
  5. Step 5: Solve for x
    x = 297,054,919.77/7,932.94
  6. Step 6: Final answer
    x = 37,445.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.