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Finding the Third Proportional to 1,344.30 and 2,904.82

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Solution

The third proportional to 1,344.30 and 2,904.82 is: 6,276.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.30 : 2,904.82 = 2,904.82 : x
  2. Step 2: Convert to fraction form
    1,344.30/2,904.82 = 2,904.82/x
  3. Step 3: Cross multiply
    1,344.30x = 2,904.82 × 2,904.82
  4. Step 4: Simplify right side
    1,344.30x = 8,437,981.05
  5. Step 5: Solve for x
    x = 8,437,981.05/1,344.30
  6. Step 6: Final answer
    x = 6,276.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.