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Finding the Third Proportional to 10,832.06 and 23,616.56

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Solution

The third proportional to 10,832.06 and 23,616.56 is: 51,489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.06 : 23,616.56 = 23,616.56 : x
  2. Step 2: Convert to fraction form
    10,832.06/23,616.56 = 23,616.56/x
  3. Step 3: Cross multiply
    10,832.06x = 23,616.56 × 23,616.56
  4. Step 4: Simplify right side
    10,832.06x = 557,742,024.32
  5. Step 5: Solve for x
    x = 557,742,024.32/10,832.06
  6. Step 6: Final answer
    x = 51,489.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.