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Finding the Third Proportional to 4,314.20 and 9,064.09

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Solution

The third proportional to 4,314.20 and 9,064.09 is: 19,043.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.20 : 9,064.09 = 9,064.09 : x
  2. Step 2: Convert to fraction form
    4,314.20/9,064.09 = 9,064.09/x
  3. Step 3: Cross multiply
    4,314.20x = 9,064.09 × 9,064.09
  4. Step 4: Simplify right side
    4,314.20x = 82,157,724.70
  5. Step 5: Solve for x
    x = 82,157,724.70/4,314.20
  6. Step 6: Final answer
    x = 19,043.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.