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Finding the Third Proportional to 27,205.88 and 57,692.25

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Solution

The third proportional to 27,205.88 and 57,692.25 is: 122,341.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,205.88 : 57,692.25 = 57,692.25 : x
  2. Step 2: Convert to fraction form
    27,205.88/57,692.25 = 57,692.25/x
  3. Step 3: Cross multiply
    27,205.88x = 57,692.25 × 57,692.25
  4. Step 4: Simplify right side
    27,205.88x = 3,328,395,710.06
  5. Step 5: Solve for x
    x = 3,328,395,710.06/27,205.88
  6. Step 6: Final answer
    x = 122,341.06

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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.