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Finding the Third Proportional to 40,044 and 92,692.50

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Solution

The third proportional to 40,044 and 92,692.50 is: 214,561.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,044 : 92,692.50 = 92,692.50 : x
  2. Step 2: Convert to fraction form
    40,044/92,692.50 = 92,692.50/x
  3. Step 3: Cross multiply
    40,044x = 92,692.50 × 92,692.50
  4. Step 4: Simplify right side
    40,044x = 8,591,899,556.25
  5. Step 5: Solve for x
    x = 8,591,899,556.25/40,044
  6. Step 6: Final answer
    x = 214,561.47

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.