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Finding the Third Proportional to 12,165.19 and 26,149.08

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Solution

The third proportional to 12,165.19 and 26,149.08 is: 56,207.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.19 : 26,149.08 = 26,149.08 : x
  2. Step 2: Convert to fraction form
    12,165.19/26,149.08 = 26,149.08/x
  3. Step 3: Cross multiply
    12,165.19x = 26,149.08 × 26,149.08
  4. Step 4: Simplify right side
    12,165.19x = 683,774,286.79
  5. Step 5: Solve for x
    x = 683,774,286.79/12,165.19
  6. Step 6: Final answer
    x = 56,207.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.