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Finding the Third Proportional to 7,663.50 and 18,843.75

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Solution

The third proportional to 7,663.50 and 18,843.75 is: 46,334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.50 : 18,843.75 = 18,843.75 : x
  2. Step 2: Convert to fraction form
    7,663.50/18,843.75 = 18,843.75/x
  3. Step 3: Cross multiply
    7,663.50x = 18,843.75 × 18,843.75
  4. Step 4: Simplify right side
    7,663.50x = 355,086,914.06
  5. Step 5: Solve for x
    x = 355,086,914.06/7,663.50
  6. Step 6: Final answer
    x = 46,334.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.