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Finding the Third Proportional to 15,780 and 33,944.25

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Solution

The third proportional to 15,780 and 33,944.25 is: 73,017.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,780 : 33,944.25 = 33,944.25 : x
  2. Step 2: Convert to fraction form
    15,780/33,944.25 = 33,944.25/x
  3. Step 3: Cross multiply
    15,780x = 33,944.25 × 33,944.25
  4. Step 4: Simplify right side
    15,780x = 1,152,212,108.06
  5. Step 5: Solve for x
    x = 1,152,212,108.06/15,780
  6. Step 6: Final answer
    x = 73,017.24

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.