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Finding the Third Proportional to 6,640.52 and 14,449.32

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Solution

The third proportional to 6,640.52 and 14,449.32 is: 31,440.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.52 : 14,449.32 = 14,449.32 : x
  2. Step 2: Convert to fraction form
    6,640.52/14,449.32 = 14,449.32/x
  3. Step 3: Cross multiply
    6,640.52x = 14,449.32 × 14,449.32
  4. Step 4: Simplify right side
    6,640.52x = 208,782,970.38
  5. Step 5: Solve for x
    x = 208,782,970.38/6,640.52
  6. Step 6: Final answer
    x = 31,440.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.