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Finding the Third Proportional to 8,153.53 and 17,701.22

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Solution

The third proportional to 8,153.53 and 17,701.22 is: 38,429.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.53 : 17,701.22 = 17,701.22 : x
  2. Step 2: Convert to fraction form
    8,153.53/17,701.22 = 17,701.22/x
  3. Step 3: Cross multiply
    8,153.53x = 17,701.22 × 17,701.22
  4. Step 4: Simplify right side
    8,153.53x = 313,333,145.24
  5. Step 5: Solve for x
    x = 313,333,145.24/8,153.53
  6. Step 6: Final answer
    x = 38,429.13

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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.