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Finding the Third Proportional to 5,531.69 and 11,946.78

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Solution

The third proportional to 5,531.69 and 11,946.78 is: 25,801.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.69 : 11,946.78 = 11,946.78 : x
  2. Step 2: Convert to fraction form
    5,531.69/11,946.78 = 11,946.78/x
  3. Step 3: Cross multiply
    5,531.69x = 11,946.78 × 11,946.78
  4. Step 4: Simplify right side
    5,531.69x = 142,725,582.24
  5. Step 5: Solve for x
    x = 142,725,582.24/5,531.69
  6. Step 6: Final answer
    x = 25,801.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.