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Finding the Third Proportional to 23,716 and 33,368

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Solution

The third proportional to 23,716 and 33,368 is: 46,948.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,716 : 33,368 = 33,368 : x
  2. Step 2: Convert to fraction form
    23,716/33,368 = 33,368/x
  3. Step 3: Cross multiply
    23,716x = 33,368 × 33,368
  4. Step 4: Simplify right side
    23,716x = 1,113,423,424
  5. Step 5: Solve for x
    x = 1,113,423,424/23,716
  6. Step 6: Final answer
    x = 46,948.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.