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Finding the Third Proportional to 13,692.25 and 29,430.75

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Solution

The third proportional to 13,692.25 and 29,430.75 is: 63,259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.25 : 29,430.75 = 29,430.75 : x
  2. Step 2: Convert to fraction form
    13,692.25/29,430.75 = 29,430.75/x
  3. Step 3: Cross multiply
    13,692.25x = 29,430.75 × 29,430.75
  4. Step 4: Simplify right side
    13,692.25x = 866,169,045.56
  5. Step 5: Solve for x
    x = 866,169,045.56/13,692.25
  6. Step 6: Final answer
    x = 63,259.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.