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Finding the Third Proportional to 22,299 and 46,434

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Solution

The third proportional to 22,299 and 46,434 is: 96,691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,299 : 46,434 = 46,434 : x
  2. Step 2: Convert to fraction form
    22,299/46,434 = 46,434/x
  3. Step 3: Cross multiply
    22,299x = 46,434 × 46,434
  4. Step 4: Simplify right side
    22,299x = 2,156,116,356
  5. Step 5: Solve for x
    x = 2,156,116,356/22,299
  6. Step 6: Final answer
    x = 96,691.17

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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.