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Finding the Third Proportional to 10,571.34 and 23,235.09

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Solution

The third proportional to 10,571.34 and 23,235.09 is: 51,069.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.34 : 23,235.09 = 23,235.09 : x
  2. Step 2: Convert to fraction form
    10,571.34/23,235.09 = 23,235.09/x
  3. Step 3: Cross multiply
    10,571.34x = 23,235.09 × 23,235.09
  4. Step 4: Simplify right side
    10,571.34x = 539,869,581.57
  5. Step 5: Solve for x
    x = 539,869,581.57/10,571.34
  6. Step 6: Final answer
    x = 51,069.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.