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Finding the Third Proportional to 11,013.47 and 23,819.06

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Solution

The third proportional to 11,013.47 and 23,819.06 is: 51,513.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,013.47 : 23,819.06 = 23,819.06 : x
  2. Step 2: Convert to fraction form
    11,013.47/23,819.06 = 23,819.06/x
  3. Step 3: Cross multiply
    11,013.47x = 23,819.06 × 23,819.06
  4. Step 4: Simplify right side
    11,013.47x = 567,347,738.38
  5. Step 5: Solve for x
    x = 567,347,738.38/11,013.47
  6. Step 6: Final answer
    x = 51,513.99

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