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Finding the Third Proportional to 12,036.09 and 25,165.69

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Solution

The third proportional to 12,036.09 and 25,165.69 is: 52,617.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,036.09 : 25,165.69 = 25,165.69 : x
  2. Step 2: Convert to fraction form
    12,036.09/25,165.69 = 25,165.69/x
  3. Step 3: Cross multiply
    12,036.09x = 25,165.69 × 25,165.69
  4. Step 4: Simplify right side
    12,036.09x = 633,311,827.35
  5. Step 5: Solve for x
    x = 633,311,827.35/12,036.09
  6. Step 6: Final answer
    x = 52,617.72

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.