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Finding the Third Proportional to 22,116.38 and 46,283.06

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Solution

The third proportional to 22,116.38 and 46,283.06 is: 96,856.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,116.38 : 46,283.06 = 46,283.06 : x
  2. Step 2: Convert to fraction form
    22,116.38/46,283.06 = 46,283.06/x
  3. Step 3: Cross multiply
    22,116.38x = 46,283.06 × 46,283.06
  4. Step 4: Simplify right side
    22,116.38x = 2,142,121,874.38
  5. Step 5: Solve for x
    x = 2,142,121,874.38/22,116.38
  6. Step 6: Final answer
    x = 96,856.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.