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Finding the Third Proportional to 7,673.48 and 18,733.78

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Solution

The third proportional to 7,673.48 and 18,733.78 is: 45,736.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.48 : 18,733.78 = 18,733.78 : x
  2. Step 2: Convert to fraction form
    7,673.48/18,733.78 = 18,733.78/x
  3. Step 3: Cross multiply
    7,673.48x = 18,733.78 × 18,733.78
  4. Step 4: Simplify right side
    7,673.48x = 350,954,559.92
  5. Step 5: Solve for x
    x = 350,954,559.92/7,673.48
  6. Step 6: Final answer
    x = 45,736.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.