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Finding the Third Proportional to 9,886 and 23,341

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Solution

The third proportional to 9,886 and 23,341 is: 55,108.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886 : 23,341 = 23,341 : x
  2. Step 2: Convert to fraction form
    9,886/23,341 = 23,341/x
  3. Step 3: Cross multiply
    9,886x = 23,341 × 23,341
  4. Step 4: Simplify right side
    9,886x = 544,802,281
  5. Step 5: Solve for x
    x = 544,802,281/9,886
  6. Step 6: Final answer
    x = 55,108.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.