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Finding the Third Proportional to 8,324.53 and 17,708.53

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Solution

The third proportional to 8,324.53 and 17,708.53 is: 37,670.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.53 : 17,708.53 = 17,708.53 : x
  2. Step 2: Convert to fraction form
    8,324.53/17,708.53 = 17,708.53/x
  3. Step 3: Cross multiply
    8,324.53x = 17,708.53 × 17,708.53
  4. Step 4: Simplify right side
    8,324.53x = 313,592,079.03
  5. Step 5: Solve for x
    x = 313,592,079.03/8,324.53
  6. Step 6: Final answer
    x = 37,670.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.