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Finding the Third Proportional to 6,746.63 and 9,493.88

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Solution

The third proportional to 6,746.63 and 9,493.88 is: 13,359.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.63 : 9,493.88 = 9,493.88 : x
  2. Step 2: Convert to fraction form
    6,746.63/9,493.88 = 9,493.88/x
  3. Step 3: Cross multiply
    6,746.63x = 9,493.88 × 9,493.88
  4. Step 4: Simplify right side
    6,746.63x = 90,133,662.52
  5. Step 5: Solve for x
    x = 90,133,662.52/6,746.63
  6. Step 6: Final answer
    x = 13,359.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.