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Finding the Third Proportional to 6,730.13 and 9,613.88

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Solution

The third proportional to 6,730.13 and 9,613.88 is: 13,733.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.13 : 9,613.88 = 9,613.88 : x
  2. Step 2: Convert to fraction form
    6,730.13/9,613.88 = 9,613.88/x
  3. Step 3: Cross multiply
    6,730.13x = 9,613.88 × 9,613.88
  4. Step 4: Simplify right side
    6,730.13x = 92,426,592.52
  5. Step 5: Solve for x
    x = 92,426,592.52/6,730.13
  6. Step 6: Final answer
    x = 13,733.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.