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Finding the Third Proportional to 5,692.78 and 8,615.11

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Solution

The third proportional to 5,692.78 and 8,615.11 is: 13,037.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.78 : 8,615.11 = 8,615.11 : x
  2. Step 2: Convert to fraction form
    5,692.78/8,615.11 = 8,615.11/x
  3. Step 3: Cross multiply
    5,692.78x = 8,615.11 × 8,615.11
  4. Step 4: Simplify right side
    5,692.78x = 74,220,109.54
  5. Step 5: Solve for x
    x = 74,220,109.54/5,692.78
  6. Step 6: Final answer
    x = 13,037.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.