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Finding the Third Proportional to 3,368.81 and 5,100.05

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Solution

The third proportional to 3,368.81 and 5,100.05 is: 7,720.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,368.81 : 5,100.05 = 5,100.05 : x
  2. Step 2: Convert to fraction form
    3,368.81/5,100.05 = 5,100.05/x
  3. Step 3: Cross multiply
    3,368.81x = 5,100.05 × 5,100.05
  4. Step 4: Simplify right side
    3,368.81x = 26,010,478.13
  5. Step 5: Solve for x
    x = 26,010,478.13/3,368.81
  6. Step 6: Final answer
    x = 7,720.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.