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Finding the Third Proportional to 4,692.94 and 8,588.53

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Solution

The third proportional to 4,692.94 and 8,588.53 is: 15,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.94 : 8,588.53 = 8,588.53 : x
  2. Step 2: Convert to fraction form
    4,692.94/8,588.53 = 8,588.53/x
  3. Step 3: Cross multiply
    4,692.94x = 8,588.53 × 8,588.53
  4. Step 4: Simplify right side
    4,692.94x = 73,762,869.03
  5. Step 5: Solve for x
    x = 73,762,869.03/4,692.94
  6. Step 6: Final answer
    x = 15,717.85

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.