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Finding the Third Proportional to 12,718.13 and 26,597.25

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Solution

The third proportional to 12,718.13 and 26,597.25 is: 55,622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,718.13 : 26,597.25 = 26,597.25 : x
  2. Step 2: Convert to fraction form
    12,718.13/26,597.25 = 26,597.25/x
  3. Step 3: Cross multiply
    12,718.13x = 26,597.25 × 26,597.25
  4. Step 4: Simplify right side
    12,718.13x = 707,413,707.56
  5. Step 5: Solve for x
    x = 707,413,707.56/12,718.13
  6. Step 6: Final answer
    x = 55,622.48

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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.