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Finding the Third Proportional to 10,943.54 and 23,117.27

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Solution

The third proportional to 10,943.54 and 23,117.27 is: 48,833.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,943.54 : 23,117.27 = 23,117.27 : x
  2. Step 2: Convert to fraction form
    10,943.54/23,117.27 = 23,117.27/x
  3. Step 3: Cross multiply
    10,943.54x = 23,117.27 × 23,117.27
  4. Step 4: Simplify right side
    10,943.54x = 534,408,331.18
  5. Step 5: Solve for x
    x = 534,408,331.18/10,943.54
  6. Step 6: Final answer
    x = 48,833.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.