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Finding the Third Proportional to 10,927.69 and 23,448.09

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Solution

The third proportional to 10,927.69 and 23,448.09 is: 50,313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,927.69 : 23,448.09 = 23,448.09 : x
  2. Step 2: Convert to fraction form
    10,927.69/23,448.09 = 23,448.09/x
  3. Step 3: Cross multiply
    10,927.69x = 23,448.09 × 23,448.09
  4. Step 4: Simplify right side
    10,927.69x = 549,813,100.51
  5. Step 5: Solve for x
    x = 549,813,100.51/10,927.69
  6. Step 6: Final answer
    x = 50,313.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.