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Finding the Third Proportional to 15,716 and 33,894

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Solution

The third proportional to 15,716 and 33,894 is: 73,097.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716 : 33,894 = 33,894 : x
  2. Step 2: Convert to fraction form
    15,716/33,894 = 33,894/x
  3. Step 3: Cross multiply
    15,716x = 33,894 × 33,894
  4. Step 4: Simplify right side
    15,716x = 1,148,803,236
  5. Step 5: Solve for x
    x = 1,148,803,236/15,716
  6. Step 6: Final answer
    x = 73,097.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.