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Finding the Third Proportional to 8,632.14 and 19,079.12

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Solution

The third proportional to 8,632.14 and 19,079.12 is: 42,169.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.14 : 19,079.12 = 19,079.12 : x
  2. Step 2: Convert to fraction form
    8,632.14/19,079.12 = 19,079.12/x
  3. Step 3: Cross multiply
    8,632.14x = 19,079.12 × 19,079.12
  4. Step 4: Simplify right side
    8,632.14x = 364,012,777.87
  5. Step 5: Solve for x
    x = 364,012,777.87/8,632.14
  6. Step 6: Final answer
    x = 42,169.49

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.