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Finding the Third Proportional to 12,587.06 and 26,195.06

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Solution

The third proportional to 12,587.06 and 26,195.06 is: 54,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,587.06 : 26,195.06 = 26,195.06 : x
  2. Step 2: Convert to fraction form
    12,587.06/26,195.06 = 26,195.06/x
  3. Step 3: Cross multiply
    12,587.06x = 26,195.06 × 26,195.06
  4. Step 4: Simplify right side
    12,587.06x = 686,181,299.38
  5. Step 5: Solve for x
    x = 686,181,299.38/12,587.06
  6. Step 6: Final answer
    x = 54,514.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.