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Finding the Third Proportional to 14,410 and 30,817

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Solution

The third proportional to 14,410 and 30,817 is: 65,904.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410 : 30,817 = 30,817 : x
  2. Step 2: Convert to fraction form
    14,410/30,817 = 30,817/x
  3. Step 3: Cross multiply
    14,410x = 30,817 × 30,817
  4. Step 4: Simplify right side
    14,410x = 949,687,489
  5. Step 5: Solve for x
    x = 949,687,489/14,410
  6. Step 6: Final answer
    x = 65,904.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.