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Finding the Third Proportional to 22,275 and 46,392

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Solution

The third proportional to 22,275 and 46,392 is: 96,620.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,275 : 46,392 = 46,392 : x
  2. Step 2: Convert to fraction form
    22,275/46,392 = 46,392/x
  3. Step 3: Cross multiply
    22,275x = 46,392 × 46,392
  4. Step 4: Simplify right side
    22,275x = 2,152,217,664
  5. Step 5: Solve for x
    x = 2,152,217,664/22,275
  6. Step 6: Final answer
    x = 96,620.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.