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Finding the Third Proportional to 1,099.83 and 2,856.52

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Solution

The third proportional to 1,099.83 and 2,856.52 is: 7,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.83 : 2,856.52 = 2,856.52 : x
  2. Step 2: Convert to fraction form
    1,099.83/2,856.52 = 2,856.52/x
  3. Step 3: Cross multiply
    1,099.83x = 2,856.52 × 2,856.52
  4. Step 4: Simplify right side
    1,099.83x = 8,159,681.52
  5. Step 5: Solve for x
    x = 8,159,681.52/1,099.83
  6. Step 6: Final answer
    x = 7,419.05

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These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.