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Finding the Third Proportional to 12,597.19 and 26,227.13

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Solution

The third proportional to 12,597.19 and 26,227.13 is: 54,604.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.19 : 26,227.13 = 26,227.13 : x
  2. Step 2: Convert to fraction form
    12,597.19/26,227.13 = 26,227.13/x
  3. Step 3: Cross multiply
    12,597.19x = 26,227.13 × 26,227.13
  4. Step 4: Simplify right side
    12,597.19x = 687,862,085.77
  5. Step 5: Solve for x
    x = 687,862,085.77/12,597.19
  6. Step 6: Final answer
    x = 54,604.42

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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.