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Finding the Third Proportional to 21,897 and 48,169

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Solution

The third proportional to 21,897 and 48,169 is: 105,962.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,897 : 48,169 = 48,169 : x
  2. Step 2: Convert to fraction form
    21,897/48,169 = 48,169/x
  3. Step 3: Cross multiply
    21,897x = 48,169 × 48,169
  4. Step 4: Simplify right side
    21,897x = 2,320,252,561
  5. Step 5: Solve for x
    x = 2,320,252,561/21,897
  6. Step 6: Final answer
    x = 105,962.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.