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Finding the Third Proportional to 7,892.81 and 12,191.06

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Solution

The third proportional to 7,892.81 and 12,191.06 is: 18,830.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.81 : 12,191.06 = 12,191.06 : x
  2. Step 2: Convert to fraction form
    7,892.81/12,191.06 = 12,191.06/x
  3. Step 3: Cross multiply
    7,892.81x = 12,191.06 × 12,191.06
  4. Step 4: Simplify right side
    7,892.81x = 148,622,004.88
  5. Step 5: Solve for x
    x = 148,622,004.88/7,892.81
  6. Step 6: Final answer
    x = 18,830.04

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.