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Finding the Third Proportional to 12,165.19 and 29,103.05

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Solution

The third proportional to 12,165.19 and 29,103.05 is: 69,623.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.19 : 29,103.05 = 29,103.05 : x
  2. Step 2: Convert to fraction form
    12,165.19/29,103.05 = 29,103.05/x
  3. Step 3: Cross multiply
    12,165.19x = 29,103.05 × 29,103.05
  4. Step 4: Simplify right side
    12,165.19x = 846,987,337.41
  5. Step 5: Solve for x
    x = 846,987,337.41/12,165.19
  6. Step 6: Final answer
    x = 69,623.86

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.