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Finding the Third Proportional to 7,692.47 and 18,411.05

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Solution

The third proportional to 7,692.47 and 18,411.05 is: 44,064.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.47 : 18,411.05 = 18,411.05 : x
  2. Step 2: Convert to fraction form
    7,692.47/18,411.05 = 18,411.05/x
  3. Step 3: Cross multiply
    7,692.47x = 18,411.05 × 18,411.05
  4. Step 4: Simplify right side
    7,692.47x = 338,966,647.03
  5. Step 5: Solve for x
    x = 338,966,647.03/7,692.47
  6. Step 6: Final answer
    x = 44,064.74

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.