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Finding the Third Proportional to 8,896.50 and 20,593.25

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Solution

The third proportional to 8,896.50 and 20,593.25 is: 47,668.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896.50 : 20,593.25 = 20,593.25 : x
  2. Step 2: Convert to fraction form
    8,896.50/20,593.25 = 20,593.25/x
  3. Step 3: Cross multiply
    8,896.50x = 20,593.25 × 20,593.25
  4. Step 4: Simplify right side
    8,896.50x = 424,081,945.56
  5. Step 5: Solve for x
    x = 424,081,945.56/8,896.50
  6. Step 6: Final answer
    x = 47,668.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.