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Finding the Third Proportional to 21,897 and 33,866.44

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Solution

The third proportional to 21,897 and 33,866.44 is: 52,378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,897 : 33,866.44 = 33,866.44 : x
  2. Step 2: Convert to fraction form
    21,897/33,866.44 = 33,866.44/x
  3. Step 3: Cross multiply
    21,897x = 33,866.44 × 33,866.44
  4. Step 4: Simplify right side
    21,897x = 1,146,935,588.94
  5. Step 5: Solve for x
    x = 1,146,935,588.94/21,897
  6. Step 6: Final answer
    x = 52,378.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.