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Finding the Third Proportional to 23,906 and 33,437

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Solution

The third proportional to 23,906 and 33,437 is: 46,767.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,906 : 33,437 = 33,437 : x
  2. Step 2: Convert to fraction form
    23,906/33,437 = 33,437/x
  3. Step 3: Cross multiply
    23,906x = 33,437 × 33,437
  4. Step 4: Simplify right side
    23,906x = 1,118,032,969
  5. Step 5: Solve for x
    x = 1,118,032,969/23,906
  6. Step 6: Final answer
    x = 46,767.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.