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Finding the Third Proportional to 40,775 and 62,692.50

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Solution

The third proportional to 40,775 and 62,692.50 is: 96,391.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,775 : 62,692.50 = 62,692.50 : x
  2. Step 2: Convert to fraction form
    40,775/62,692.50 = 62,692.50/x
  3. Step 3: Cross multiply
    40,775x = 62,692.50 × 62,692.50
  4. Step 4: Simplify right side
    40,775x = 3,930,349,556.25
  5. Step 5: Solve for x
    x = 3,930,349,556.25/40,775
  6. Step 6: Final answer
    x = 96,391.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.