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Finding the Third Proportional to 15,886.13 and 33,883.31

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Solution

The third proportional to 15,886.13 and 33,883.31 is: 72,269.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,886.13 : 33,883.31 = 33,883.31 : x
  2. Step 2: Convert to fraction form
    15,886.13/33,883.31 = 33,883.31/x
  3. Step 3: Cross multiply
    15,886.13x = 33,883.31 × 33,883.31
  4. Step 4: Simplify right side
    15,886.13x = 1,148,078,865.97
  5. Step 5: Solve for x
    x = 1,148,078,865.97/15,886.13
  6. Step 6: Final answer
    x = 72,269.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.