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Finding the Third Proportional to 6,881.36 and 14,275.30

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Solution

The third proportional to 6,881.36 and 14,275.30 is: 29,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.36 : 14,275.30 = 14,275.30 : x
  2. Step 2: Convert to fraction form
    6,881.36/14,275.30 = 14,275.30/x
  3. Step 3: Cross multiply
    6,881.36x = 14,275.30 × 14,275.30
  4. Step 4: Simplify right side
    6,881.36x = 203,784,212.40
  5. Step 5: Solve for x
    x = 203,784,212.40/6,881.36
  6. Step 6: Final answer
    x = 29,613.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.