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Finding the Third Proportional to 3,407.81 and 4,832.63

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Solution

The third proportional to 3,407.81 and 4,832.63 is: 6,853.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.81 : 4,832.63 = 4,832.63 : x
  2. Step 2: Convert to fraction form
    3,407.81/4,832.63 = 4,832.63/x
  3. Step 3: Cross multiply
    3,407.81x = 4,832.63 × 4,832.63
  4. Step 4: Simplify right side
    3,407.81x = 23,354,264.39
  5. Step 5: Solve for x
    x = 23,354,264.39/3,407.81
  6. Step 6: Final answer
    x = 6,853.15

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.