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Finding the Third Proportional to 15,704 and 36,326

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Solution

The third proportional to 15,704 and 36,326 is: 84,028.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,704 : 36,326 = 36,326 : x
  2. Step 2: Convert to fraction form
    15,704/36,326 = 36,326/x
  3. Step 3: Cross multiply
    15,704x = 36,326 × 36,326
  4. Step 4: Simplify right side
    15,704x = 1,319,578,276
  5. Step 5: Solve for x
    x = 1,319,578,276/15,704
  6. Step 6: Final answer
    x = 84,028.16

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.