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Finding the Third Proportional to 11,061 and 23,882.63

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Solution

The third proportional to 11,061 and 23,882.63 is: 51,566.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,061 : 23,882.63 = 23,882.63 : x
  2. Step 2: Convert to fraction form
    11,061/23,882.63 = 23,882.63/x
  3. Step 3: Cross multiply
    11,061x = 23,882.63 × 23,882.63
  4. Step 4: Simplify right side
    11,061x = 570,379,776.89
  5. Step 5: Solve for x
    x = 570,379,776.89/11,061
  6. Step 6: Final answer
    x = 51,566.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.