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Finding the Third Proportional to 19,616 and 46,288

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Solution

The third proportional to 19,616 and 46,288 is: 109,226.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,616 : 46,288 = 46,288 : x
  2. Step 2: Convert to fraction form
    19,616/46,288 = 46,288/x
  3. Step 3: Cross multiply
    19,616x = 46,288 × 46,288
  4. Step 4: Simplify right side
    19,616x = 2,142,578,944
  5. Step 5: Solve for x
    x = 2,142,578,944/19,616
  6. Step 6: Final answer
    x = 109,226.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.