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Finding the Third Proportional to 33,913.69 and 52,746.19

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Solution

The third proportional to 33,913.69 and 52,746.19 is: 82,036.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,913.69 : 52,746.19 = 52,746.19 : x
  2. Step 2: Convert to fraction form
    33,913.69/52,746.19 = 52,746.19/x
  3. Step 3: Cross multiply
    33,913.69x = 52,746.19 × 52,746.19
  4. Step 4: Simplify right side
    33,913.69x = 2,782,160,295.79
  5. Step 5: Solve for x
    x = 2,782,160,295.79/33,913.69
  6. Step 6: Final answer
    x = 82,036.50

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.