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Finding the Third Proportional to 7,882.09 and 13,136.82

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Solution

The third proportional to 7,882.09 and 13,136.82 is: 21,894.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.09 : 13,136.82 = 13,136.82 : x
  2. Step 2: Convert to fraction form
    7,882.09/13,136.82 = 13,136.82/x
  3. Step 3: Cross multiply
    7,882.09x = 13,136.82 × 13,136.82
  4. Step 4: Simplify right side
    7,882.09x = 172,575,953.31
  5. Step 5: Solve for x
    x = 172,575,953.31/7,882.09
  6. Step 6: Final answer
    x = 21,894.69

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.