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Finding the Third Proportional to 6,730.59 and 9,894.66

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Solution

The third proportional to 6,730.59 and 9,894.66 is: 14,546.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.59 : 9,894.66 = 9,894.66 : x
  2. Step 2: Convert to fraction form
    6,730.59/9,894.66 = 9,894.66/x
  3. Step 3: Cross multiply
    6,730.59x = 9,894.66 × 9,894.66
  4. Step 4: Simplify right side
    6,730.59x = 97,904,222.31
  5. Step 5: Solve for x
    x = 97,904,222.31/6,730.59
  6. Step 6: Final answer
    x = 14,546.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.