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Finding the Third Proportional to 29,616 and 49,368

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Solution

The third proportional to 29,616 and 49,368 is: 82,293.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,616 : 49,368 = 49,368 : x
  2. Step 2: Convert to fraction form
    29,616/49,368 = 49,368/x
  3. Step 3: Cross multiply
    29,616x = 49,368 × 49,368
  4. Step 4: Simplify right side
    29,616x = 2,437,199,424
  5. Step 5: Solve for x
    x = 2,437,199,424/29,616
  6. Step 6: Final answer
    x = 82,293.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.