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Finding the Third Proportional to 19,882 and 26,379

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Solution

The third proportional to 19,882 and 26,379 is: 34,999.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882 : 26,379 = 26,379 : x
  2. Step 2: Convert to fraction form
    19,882/26,379 = 26,379/x
  3. Step 3: Cross multiply
    19,882x = 26,379 × 26,379
  4. Step 4: Simplify right side
    19,882x = 695,851,641
  5. Step 5: Solve for x
    x = 695,851,641/19,882
  6. Step 6: Final answer
    x = 34,999.08

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.