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Finding the Third Proportional to 18,801.84 and 28,206.47

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Solution

The third proportional to 18,801.84 and 28,206.47 is: 42,315.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,801.84 : 28,206.47 = 28,206.47 : x
  2. Step 2: Convert to fraction form
    18,801.84/28,206.47 = 28,206.47/x
  3. Step 3: Cross multiply
    18,801.84x = 28,206.47 × 28,206.47
  4. Step 4: Simplify right side
    18,801.84x = 795,604,879.34
  5. Step 5: Solve for x
    x = 795,604,879.34/18,801.84
  6. Step 6: Final answer
    x = 42,315.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.