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Finding the Third Proportional to 7,435.13 and 15,486.75

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Solution

The third proportional to 7,435.13 and 15,486.75 is: 32,257.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,435.13 : 15,486.75 = 15,486.75 : x
  2. Step 2: Convert to fraction form
    7,435.13/15,486.75 = 15,486.75/x
  3. Step 3: Cross multiply
    7,435.13x = 15,486.75 × 15,486.75
  4. Step 4: Simplify right side
    7,435.13x = 239,839,425.56
  5. Step 5: Solve for x
    x = 239,839,425.56/7,435.13
  6. Step 6: Final answer
    x = 32,257.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.