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Finding the Third Proportional to 8,484.75 and 17,743.50

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Solution

The third proportional to 8,484.75 and 17,743.50 is: 37,105.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.75 : 17,743.50 = 17,743.50 : x
  2. Step 2: Convert to fraction form
    8,484.75/17,743.50 = 17,743.50/x
  3. Step 3: Cross multiply
    8,484.75x = 17,743.50 × 17,743.50
  4. Step 4: Simplify right side
    8,484.75x = 314,831,792.25
  5. Step 5: Solve for x
    x = 314,831,792.25/8,484.75
  6. Step 6: Final answer
    x = 37,105.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.