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Finding the Third Proportional to 8,640 and 18,202.22

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Solution

The third proportional to 8,640 and 18,202.22 is: 38,347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,640 : 18,202.22 = 18,202.22 : x
  2. Step 2: Convert to fraction form
    8,640/18,202.22 = 18,202.22/x
  3. Step 3: Cross multiply
    8,640x = 18,202.22 × 18,202.22
  4. Step 4: Simplify right side
    8,640x = 331,320,767.42
  5. Step 5: Solve for x
    x = 331,320,767.42/8,640
  6. Step 6: Final answer
    x = 38,347.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.