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Finding the Third Proportional to 19,200.66 and 39,934.41

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Solution

The third proportional to 19,200.66 and 39,934.41 is: 83,057.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,200.66 : 39,934.41 = 39,934.41 : x
  2. Step 2: Convert to fraction form
    19,200.66/39,934.41 = 39,934.41/x
  3. Step 3: Cross multiply
    19,200.66x = 39,934.41 × 39,934.41
  4. Step 4: Simplify right side
    19,200.66x = 1,594,756,802.54
  5. Step 5: Solve for x
    x = 1,594,756,802.54/19,200.66
  6. Step 6: Final answer
    x = 83,057.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.