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Finding the Third Proportional to 12,165.19 and 19,079.30

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Solution

The third proportional to 12,165.19 and 19,079.30 is: 29,923.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.19 : 19,079.30 = 19,079.30 : x
  2. Step 2: Convert to fraction form
    12,165.19/19,079.30 = 19,079.30/x
  3. Step 3: Cross multiply
    12,165.19x = 19,079.30 × 19,079.30
  4. Step 4: Simplify right side
    12,165.19x = 364,019,569.24
  5. Step 5: Solve for x
    x = 364,019,569.24/12,165.19
  6. Step 6: Final answer
    x = 29,923.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.