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Finding the Third Proportional to 10,563.75 and 16,452.28

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Solution

The third proportional to 10,563.75 and 16,452.28 is: 25,623.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.75 : 16,452.28 = 16,452.28 : x
  2. Step 2: Convert to fraction form
    10,563.75/16,452.28 = 16,452.28/x
  3. Step 3: Cross multiply
    10,563.75x = 16,452.28 × 16,452.28
  4. Step 4: Simplify right side
    10,563.75x = 270,677,558.33
  5. Step 5: Solve for x
    x = 270,677,558.33/10,563.75
  6. Step 6: Final answer
    x = 25,623.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.