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Finding the Third Proportional to 19,523 and 27,897

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Solution

The third proportional to 19,523 and 27,897 is: 39,862.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,523 : 27,897 = 27,897 : x
  2. Step 2: Convert to fraction form
    19,523/27,897 = 27,897/x
  3. Step 3: Cross multiply
    19,523x = 27,897 × 27,897
  4. Step 4: Simplify right side
    19,523x = 778,242,609
  5. Step 5: Solve for x
    x = 778,242,609/19,523
  6. Step 6: Final answer
    x = 39,862.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.