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Finding the Third Proportional to 12,758.34 and 18,692.02

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Solution

The third proportional to 12,758.34 and 18,692.02 is: 27,385.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.34 : 18,692.02 = 18,692.02 : x
  2. Step 2: Convert to fraction form
    12,758.34/18,692.02 = 18,692.02/x
  3. Step 3: Cross multiply
    12,758.34x = 18,692.02 × 18,692.02
  4. Step 4: Simplify right side
    12,758.34x = 349,391,448.13
  5. Step 5: Solve for x
    x = 349,391,448.13/12,758.34
  6. Step 6: Final answer
    x = 27,385.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.