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Finding the Third Proportional to 15,882 and 21,805.50

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Solution

The third proportional to 15,882 and 21,805.50 is: 29,938.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882 : 21,805.50 = 21,805.50 : x
  2. Step 2: Convert to fraction form
    15,882/21,805.50 = 21,805.50/x
  3. Step 3: Cross multiply
    15,882x = 21,805.50 × 21,805.50
  4. Step 4: Simplify right side
    15,882x = 475,479,830.25
  5. Step 5: Solve for x
    x = 475,479,830.25/15,882
  6. Step 6: Final answer
    x = 29,938.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.