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Finding the Third Proportional to 23,116 and 51,424

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Solution

The third proportional to 23,116 and 51,424 is: 114,398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,116 : 51,424 = 51,424 : x
  2. Step 2: Convert to fraction form
    23,116/51,424 = 51,424/x
  3. Step 3: Cross multiply
    23,116x = 51,424 × 51,424
  4. Step 4: Simplify right side
    23,116x = 2,644,427,776
  5. Step 5: Solve for x
    x = 2,644,427,776/23,116
  6. Step 6: Final answer
    x = 114,398.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.