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Finding the Third Proportional to 7,235.16 and 15,654.09

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Solution

The third proportional to 7,235.16 and 15,654.09 is: 33,869.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.16 : 15,654.09 = 15,654.09 : x
  2. Step 2: Convert to fraction form
    7,235.16/15,654.09 = 15,654.09/x
  3. Step 3: Cross multiply
    7,235.16x = 15,654.09 × 15,654.09
  4. Step 4: Simplify right side
    7,235.16x = 245,050,651.13
  5. Step 5: Solve for x
    x = 245,050,651.13/7,235.16
  6. Step 6: Final answer
    x = 33,869.43

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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.