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Finding the Third Proportional to 9,600.75 and 20,801.25

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Solution

The third proportional to 9,600.75 and 20,801.25 is: 45,068.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.75 : 20,801.25 = 20,801.25 : x
  2. Step 2: Convert to fraction form
    9,600.75/20,801.25 = 20,801.25/x
  3. Step 3: Cross multiply
    9,600.75x = 20,801.25 × 20,801.25
  4. Step 4: Simplify right side
    9,600.75x = 432,692,001.56
  5. Step 5: Solve for x
    x = 432,692,001.56/9,600.75
  6. Step 6: Final answer
    x = 45,068.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.