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Finding the Third Proportional to 2,904.61 and 6,236.37

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Solution

The third proportional to 2,904.61 and 6,236.37 is: 13,389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.61 : 6,236.37 = 6,236.37 : x
  2. Step 2: Convert to fraction form
    2,904.61/6,236.37 = 6,236.37/x
  3. Step 3: Cross multiply
    2,904.61x = 6,236.37 × 6,236.37
  4. Step 4: Simplify right side
    2,904.61x = 38,892,275.70
  5. Step 5: Solve for x
    x = 38,892,275.70/2,904.61
  6. Step 6: Final answer
    x = 13,389.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.