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Finding the Third Proportional to 10,917.91 and 23,412.01

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Solution

The third proportional to 10,917.91 and 23,412.01 is: 50,203.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917.91 : 23,412.01 = 23,412.01 : x
  2. Step 2: Convert to fraction form
    10,917.91/23,412.01 = 23,412.01/x
  3. Step 3: Cross multiply
    10,917.91x = 23,412.01 × 23,412.01
  4. Step 4: Simplify right side
    10,917.91x = 548,122,018.36
  5. Step 5: Solve for x
    x = 548,122,018.36/10,917.91
  6. Step 6: Final answer
    x = 50,203.91

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.