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Finding the Third Proportional to 1,341.35 and 2,906.02

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Solution

The third proportional to 1,341.35 and 2,906.02 is: 6,295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.35 : 2,906.02 = 2,906.02 : x
  2. Step 2: Convert to fraction form
    1,341.35/2,906.02 = 2,906.02/x
  3. Step 3: Cross multiply
    1,341.35x = 2,906.02 × 2,906.02
  4. Step 4: Simplify right side
    1,341.35x = 8,444,926.81
  5. Step 5: Solve for x
    x = 8,444,926.81/1,341.35
  6. Step 6: Final answer
    x = 6,295.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.