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Finding the Third Proportional to 36,588 and 58,236

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Solution

The third proportional to 36,588 and 58,236 is: 92,692.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,588 : 58,236 = 58,236 : x
  2. Step 2: Convert to fraction form
    36,588/58,236 = 58,236/x
  3. Step 3: Cross multiply
    36,588x = 58,236 × 58,236
  4. Step 4: Simplify right side
    36,588x = 3,391,431,696
  5. Step 5: Solve for x
    x = 3,391,431,696/36,588
  6. Step 6: Final answer
    x = 92,692.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.