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Finding the Third Proportional to 15,829.80 and 33,439.71

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Solution

The third proportional to 15,829.80 and 33,439.71 is: 70,639.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,829.80 : 33,439.71 = 33,439.71 : x
  2. Step 2: Convert to fraction form
    15,829.80/33,439.71 = 33,439.71/x
  3. Step 3: Cross multiply
    15,829.80x = 33,439.71 × 33,439.71
  4. Step 4: Simplify right side
    15,829.80x = 1,118,214,267.58
  5. Step 5: Solve for x
    x = 1,118,214,267.58/15,829.80
  6. Step 6: Final answer
    x = 70,639.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.