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Finding the Third Proportional to 7,314 and 14,259

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Solution

The third proportional to 7,314 and 14,259 is: 27,798.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314 : 14,259 = 14,259 : x
  2. Step 2: Convert to fraction form
    7,314/14,259 = 14,259/x
  3. Step 3: Cross multiply
    7,314x = 14,259 × 14,259
  4. Step 4: Simplify right side
    7,314x = 203,319,081
  5. Step 5: Solve for x
    x = 203,319,081/7,314
  6. Step 6: Final answer
    x = 27,798.62

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.