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Finding the Third Proportional to 22,886 and 50,146

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Solution

The third proportional to 22,886 and 50,146 is: 109,875.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,886 : 50,146 = 50,146 : x
  2. Step 2: Convert to fraction form
    22,886/50,146 = 50,146/x
  3. Step 3: Cross multiply
    22,886x = 50,146 × 50,146
  4. Step 4: Simplify right side
    22,886x = 2,514,621,316
  5. Step 5: Solve for x
    x = 2,514,621,316/22,886
  6. Step 6: Final answer
    x = 109,875.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.