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Finding the Third Proportional to 18,013.32 and 38,692.05

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Solution

The third proportional to 18,013.32 and 38,692.05 is: 83,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,013.32 : 38,692.05 = 38,692.05 : x
  2. Step 2: Convert to fraction form
    18,013.32/38,692.05 = 38,692.05/x
  3. Step 3: Cross multiply
    18,013.32x = 38,692.05 × 38,692.05
  4. Step 4: Simplify right side
    18,013.32x = 1,497,075,095.94
  5. Step 5: Solve for x
    x = 1,497,075,095.94/18,013.32
  6. Step 6: Final answer
    x = 83,109.32

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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.