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Finding the Third Proportional to 6,899 and 14,423

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Solution

The third proportional to 6,899 and 14,423 is: 30,152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899 : 14,423 = 14,423 : x
  2. Step 2: Convert to fraction form
    6,899/14,423 = 14,423/x
  3. Step 3: Cross multiply
    6,899x = 14,423 × 14,423
  4. Step 4: Simplify right side
    6,899x = 208,022,929
  5. Step 5: Solve for x
    x = 208,022,929/6,899
  6. Step 6: Final answer
    x = 30,152.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.