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Finding the Third Proportional to 1,196.02 and 1,868.06

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Solution

The third proportional to 1,196.02 and 1,868.06 is: 2,917.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.02 : 1,868.06 = 1,868.06 : x
  2. Step 2: Convert to fraction form
    1,196.02/1,868.06 = 1,868.06/x
  3. Step 3: Cross multiply
    1,196.02x = 1,868.06 × 1,868.06
  4. Step 4: Simplify right side
    1,196.02x = 3,489,657.50
  5. Step 5: Solve for x
    x = 3,489,657.50/1,196.02
  6. Step 6: Final answer
    x = 2,917.74

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.