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Finding the Third Proportional to 12,206.95 and 16,486.03

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Solution

The third proportional to 12,206.95 and 16,486.03 is: 22,265.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.95 : 16,486.03 = 16,486.03 : x
  2. Step 2: Convert to fraction form
    12,206.95/16,486.03 = 16,486.03/x
  3. Step 3: Cross multiply
    12,206.95x = 16,486.03 × 16,486.03
  4. Step 4: Simplify right side
    12,206.95x = 271,789,226.38
  5. Step 5: Solve for x
    x = 271,789,226.38/12,206.95
  6. Step 6: Final answer
    x = 22,265.12

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.