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Finding the Third Proportional to 20,196 and 28,252.13

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Solution

The third proportional to 20,196 and 28,252.13 is: 39,521.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196 : 28,252.13 = 28,252.13 : x
  2. Step 2: Convert to fraction form
    20,196/28,252.13 = 28,252.13/x
  3. Step 3: Cross multiply
    20,196x = 28,252.13 × 28,252.13
  4. Step 4: Simplify right side
    20,196x = 798,182,567.02
  5. Step 5: Solve for x
    x = 798,182,567.02/20,196
  6. Step 6: Final answer
    x = 39,521.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.