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Finding the Third Proportional to 10,634.69 and 23,013.76

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Solution

The third proportional to 10,634.69 and 23,013.76 is: 49,802.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.69 : 23,013.76 = 23,013.76 : x
  2. Step 2: Convert to fraction form
    10,634.69/23,013.76 = 23,013.76/x
  3. Step 3: Cross multiply
    10,634.69x = 23,013.76 × 23,013.76
  4. Step 4: Simplify right side
    10,634.69x = 529,632,996.68
  5. Step 5: Solve for x
    x = 529,632,996.68/10,634.69
  6. Step 6: Final answer
    x = 49,802.37

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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.