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Finding the Third Proportional to 12,415.78 and 27,223.59

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Solution

The third proportional to 12,415.78 and 27,223.59 is: 59,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.78 : 27,223.59 = 27,223.59 : x
  2. Step 2: Convert to fraction form
    12,415.78/27,223.59 = 27,223.59/x
  3. Step 3: Cross multiply
    12,415.78x = 27,223.59 × 27,223.59
  4. Step 4: Simplify right side
    12,415.78x = 741,124,056.67
  5. Step 5: Solve for x
    x = 741,124,056.67/12,415.78
  6. Step 6: Final answer
    x = 59,692.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.