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Finding the Third Proportional to 8,459.44 and 17,124.22

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Solution

The third proportional to 8,459.44 and 17,124.22 is: 34,664.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,459.44 : 17,124.22 = 17,124.22 : x
  2. Step 2: Convert to fraction form
    8,459.44/17,124.22 = 17,124.22/x
  3. Step 3: Cross multiply
    8,459.44x = 17,124.22 × 17,124.22
  4. Step 4: Simplify right side
    8,459.44x = 293,239,001.58
  5. Step 5: Solve for x
    x = 293,239,001.58/8,459.44
  6. Step 6: Final answer
    x = 34,664.13

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.