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Finding the Third Proportional to 7,708.50 and 18,947.25

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Solution

The third proportional to 7,708.50 and 18,947.25 is: 46,571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.50 : 18,947.25 = 18,947.25 : x
  2. Step 2: Convert to fraction form
    7,708.50/18,947.25 = 18,947.25/x
  3. Step 3: Cross multiply
    7,708.50x = 18,947.25 × 18,947.25
  4. Step 4: Simplify right side
    7,708.50x = 358,998,282.56
  5. Step 5: Solve for x
    x = 358,998,282.56/7,708.50
  6. Step 6: Final answer
    x = 46,571.74

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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.