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Finding the Third Proportional to 4,400.16 and 9,164.39

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Solution

The third proportional to 4,400.16 and 9,164.39 is: 19,087.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,400.16 : 9,164.39 = 9,164.39 : x
  2. Step 2: Convert to fraction form
    4,400.16/9,164.39 = 9,164.39/x
  3. Step 3: Cross multiply
    4,400.16x = 9,164.39 × 9,164.39
  4. Step 4: Simplify right side
    4,400.16x = 83,986,055.53
  5. Step 5: Solve for x
    x = 83,986,055.53/4,400.16
  6. Step 6: Final answer
    x = 19,087.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.