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Finding the Third Proportional to 16,310 and 34,817

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Solution

The third proportional to 16,310 and 34,817 is: 74,323.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,310 : 34,817 = 34,817 : x
  2. Step 2: Convert to fraction form
    16,310/34,817 = 34,817/x
  3. Step 3: Cross multiply
    16,310x = 34,817 × 34,817
  4. Step 4: Simplify right side
    16,310x = 1,212,223,489
  5. Step 5: Solve for x
    x = 1,212,223,489/16,310
  6. Step 6: Final answer
    x = 74,323.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.