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Finding the Third Proportional to 10,529.75 and 23,394.75

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Solution

The third proportional to 10,529.75 and 23,394.75 is: 51,977.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,529.75 : 23,394.75 = 23,394.75 : x
  2. Step 2: Convert to fraction form
    10,529.75/23,394.75 = 23,394.75/x
  3. Step 3: Cross multiply
    10,529.75x = 23,394.75 × 23,394.75
  4. Step 4: Simplify right side
    10,529.75x = 547,314,327.56
  5. Step 5: Solve for x
    x = 547,314,327.56/10,529.75
  6. Step 6: Final answer
    x = 51,977.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.