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Finding the Third Proportional to 35,692.50 and 55,515

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Solution

The third proportional to 35,692.50 and 55,515 is: 86,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,692.50 : 55,515 = 55,515 : x
  2. Step 2: Convert to fraction form
    35,692.50/55,515 = 55,515/x
  3. Step 3: Cross multiply
    35,692.50x = 55,515 × 55,515
  4. Step 4: Simplify right side
    35,692.50x = 3,081,915,225
  5. Step 5: Solve for x
    x = 3,081,915,225/35,692.50
  6. Step 6: Final answer
    x = 86,346.30

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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.