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Finding the Third Proportional to 10,905.75 and 23,121

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Solution

The third proportional to 10,905.75 and 23,121 is: 49,018.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905.75 : 23,121 = 23,121 : x
  2. Step 2: Convert to fraction form
    10,905.75/23,121 = 23,121/x
  3. Step 3: Cross multiply
    10,905.75x = 23,121 × 23,121
  4. Step 4: Simplify right side
    10,905.75x = 534,580,641
  5. Step 5: Solve for x
    x = 534,580,641/10,905.75
  6. Step 6: Final answer
    x = 49,018.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.