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Finding the Third Proportional to 8,181.56 and 12,510.28

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Solution

The third proportional to 8,181.56 and 12,510.28 is: 19,129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.56 : 12,510.28 = 12,510.28 : x
  2. Step 2: Convert to fraction form
    8,181.56/12,510.28 = 12,510.28/x
  3. Step 3: Cross multiply
    8,181.56x = 12,510.28 × 12,510.28
  4. Step 4: Simplify right side
    8,181.56x = 156,507,136.95
  5. Step 5: Solve for x
    x = 156,507,136.95/8,181.56
  6. Step 6: Final answer
    x = 19,129.25

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.