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Finding the Third Proportional to 7,765.56 and 16,244.46

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Solution

The third proportional to 7,765.56 and 16,244.46 is: 33,981.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.56 : 16,244.46 = 16,244.46 : x
  2. Step 2: Convert to fraction form
    7,765.56/16,244.46 = 16,244.46/x
  3. Step 3: Cross multiply
    7,765.56x = 16,244.46 × 16,244.46
  4. Step 4: Simplify right side
    7,765.56x = 263,882,320.79
  5. Step 5: Solve for x
    x = 263,882,320.79/7,765.56
  6. Step 6: Final answer
    x = 33,981.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.