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Finding the Third Proportional to 6,716.04 and 14,423.17

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Solution

The third proportional to 6,716.04 and 14,423.17 is: 30,974.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.04 : 14,423.17 = 14,423.17 : x
  2. Step 2: Convert to fraction form
    6,716.04/14,423.17 = 14,423.17/x
  3. Step 3: Cross multiply
    6,716.04x = 14,423.17 × 14,423.17
  4. Step 4: Simplify right side
    6,716.04x = 208,027,774.25
  5. Step 5: Solve for x
    x = 208,027,774.25/6,716.04
  6. Step 6: Final answer
    x = 30,974.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.