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Finding the Third Proportional to 3,407.06 and 4,476.09

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Solution

The third proportional to 3,407.06 and 4,476.09 is: 5,880.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.06 : 4,476.09 = 4,476.09 : x
  2. Step 2: Convert to fraction form
    3,407.06/4,476.09 = 4,476.09/x
  3. Step 3: Cross multiply
    3,407.06x = 4,476.09 × 4,476.09
  4. Step 4: Simplify right side
    3,407.06x = 20,035,415.26
  5. Step 5: Solve for x
    x = 20,035,415.26/3,407.06
  6. Step 6: Final answer
    x = 5,880.55

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.