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Finding the Third Proportional to 8,867.60 and 19,119.16

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Solution

The third proportional to 8,867.60 and 19,119.16 is: 41,222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,867.60 : 19,119.16 = 19,119.16 : x
  2. Step 2: Convert to fraction form
    8,867.60/19,119.16 = 19,119.16/x
  3. Step 3: Cross multiply
    8,867.60x = 19,119.16 × 19,119.16
  4. Step 4: Simplify right side
    8,867.60x = 365,542,434.45
  5. Step 5: Solve for x
    x = 365,542,434.45/8,867.60
  6. Step 6: Final answer
    x = 41,222.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.