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Finding the Third Proportional to 21,652.31 and 33,258.09

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Solution

The third proportional to 21,652.31 and 33,258.09 is: 51,084.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,652.31 : 33,258.09 = 33,258.09 : x
  2. Step 2: Convert to fraction form
    21,652.31/33,258.09 = 33,258.09/x
  3. Step 3: Cross multiply
    21,652.31x = 33,258.09 × 33,258.09
  4. Step 4: Simplify right side
    21,652.31x = 1,106,100,799.88
  5. Step 5: Solve for x
    x = 1,106,100,799.88/21,652.31
  6. Step 6: Final answer
    x = 51,084.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.