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Finding the Third Proportional to 26,692.88 and 41,654.25

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Solution

The third proportional to 26,692.88 and 41,654.25 is: 65,001.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,692.88 : 41,654.25 = 41,654.25 : x
  2. Step 2: Convert to fraction form
    26,692.88/41,654.25 = 41,654.25/x
  3. Step 3: Cross multiply
    26,692.88x = 41,654.25 × 41,654.25
  4. Step 4: Simplify right side
    26,692.88x = 1,735,076,543.06
  5. Step 5: Solve for x
    x = 1,735,076,543.06/26,692.88
  6. Step 6: Final answer
    x = 65,001.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.