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Finding the Third Proportional to 21,202 and 28,794.38

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Solution

The third proportional to 21,202 and 28,794.38 is: 39,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,202 : 28,794.38 = 28,794.38 : x
  2. Step 2: Convert to fraction form
    21,202/28,794.38 = 28,794.38/x
  3. Step 3: Cross multiply
    21,202x = 28,794.38 × 28,794.38
  4. Step 4: Simplify right side
    21,202x = 829,116,031.64
  5. Step 5: Solve for x
    x = 829,116,031.64/21,202
  6. Step 6: Final answer
    x = 39,105.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.