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Finding the Third Proportional to 12,415.78 and 26,266.78

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Solution

The third proportional to 12,415.78 and 26,266.78 is: 55,569.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.78 : 26,266.78 = 26,266.78 : x
  2. Step 2: Convert to fraction form
    12,415.78/26,266.78 = 26,266.78/x
  3. Step 3: Cross multiply
    12,415.78x = 26,266.78 × 26,266.78
  4. Step 4: Simplify right side
    12,415.78x = 689,943,797.24
  5. Step 5: Solve for x
    x = 689,943,797.24/12,415.78
  6. Step 6: Final answer
    x = 55,569.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.