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Finding the Third Proportional to 7,823.25 and 11,732.63

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Solution

The third proportional to 7,823.25 and 11,732.63 is: 17,595.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.25 : 11,732.63 = 11,732.63 : x
  2. Step 2: Convert to fraction form
    7,823.25/11,732.63 = 11,732.63/x
  3. Step 3: Cross multiply
    7,823.25x = 11,732.63 × 11,732.63
  4. Step 4: Simplify right side
    7,823.25x = 137,654,489.39
  5. Step 5: Solve for x
    x = 137,654,489.39/7,823.25
  6. Step 6: Final answer
    x = 17,595.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.