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Finding the Third Proportional to 4,245.75 and 10,384.88

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Solution

The third proportional to 4,245.75 and 10,384.88 is: 25,400.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,245.75 : 10,384.88 = 10,384.88 : x
  2. Step 2: Convert to fraction form
    4,245.75/10,384.88 = 10,384.88/x
  3. Step 3: Cross multiply
    4,245.75x = 10,384.88 × 10,384.88
  4. Step 4: Simplify right side
    4,245.75x = 107,845,628.77
  5. Step 5: Solve for x
    x = 107,845,628.77/4,245.75
  6. Step 6: Final answer
    x = 25,400.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.