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Finding the Third Proportional to 6,951.75 and 14,389.13

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Solution

The third proportional to 6,951.75 and 14,389.13 is: 29,783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.75 : 14,389.13 = 14,389.13 : x
  2. Step 2: Convert to fraction form
    6,951.75/14,389.13 = 14,389.13/x
  3. Step 3: Cross multiply
    6,951.75x = 14,389.13 × 14,389.13
  4. Step 4: Simplify right side
    6,951.75x = 207,046,918.27
  5. Step 5: Solve for x
    x = 207,046,918.27/6,951.75
  6. Step 6: Final answer
    x = 29,783.42

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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.