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Finding the Third Proportional to 1,345.92 and 2,184.05

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Solution

The third proportional to 1,345.92 and 2,184.05 is: 3,544.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.92 : 2,184.05 = 2,184.05 : x
  2. Step 2: Convert to fraction form
    1,345.92/2,184.05 = 2,184.05/x
  3. Step 3: Cross multiply
    1,345.92x = 2,184.05 × 2,184.05
  4. Step 4: Simplify right side
    1,345.92x = 4,770,060.75
  5. Step 5: Solve for x
    x = 4,770,060.75/1,345.92
  6. Step 6: Final answer
    x = 3,544.08

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.