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Finding the Third Proportional to 4,444.88 and 9,694.69

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Solution

The third proportional to 4,444.88 and 9,694.69 is: 21,145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,444.88 : 9,694.69 = 9,694.69 : x
  2. Step 2: Convert to fraction form
    4,444.88/9,694.69 = 9,694.69/x
  3. Step 3: Cross multiply
    4,444.88x = 9,694.69 × 9,694.69
  4. Step 4: Simplify right side
    4,444.88x = 93,986,965.72
  5. Step 5: Solve for x
    x = 93,986,965.72/4,444.88
  6. Step 6: Final answer
    x = 21,145.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.