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Finding the Third Proportional to 23,726 and 51,347

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Solution

The third proportional to 23,726 and 51,347 is: 111,123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,726 : 51,347 = 51,347 : x
  2. Step 2: Convert to fraction form
    23,726/51,347 = 51,347/x
  3. Step 3: Cross multiply
    23,726x = 51,347 × 51,347
  4. Step 4: Simplify right side
    23,726x = 2,636,514,409
  5. Step 5: Solve for x
    x = 2,636,514,409/23,726
  6. Step 6: Final answer
    x = 111,123.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.