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Finding the Third Proportional to 14,340 and 31,509

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Solution

The third proportional to 14,340 and 31,509 is: 69,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,340 : 31,509 = 31,509 : x
  2. Step 2: Convert to fraction form
    14,340/31,509 = 31,509/x
  3. Step 3: Cross multiply
    14,340x = 31,509 × 31,509
  4. Step 4: Simplify right side
    14,340x = 992,817,081
  5. Step 5: Solve for x
    x = 992,817,081/14,340
  6. Step 6: Final answer
    x = 69,234.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.