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Finding the Third Proportional to 15,965.44 and 43,255.69

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Solution

The third proportional to 15,965.44 and 43,255.69 is: 117,194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,965.44 : 43,255.69 = 43,255.69 : x
  2. Step 2: Convert to fraction form
    15,965.44/43,255.69 = 43,255.69/x
  3. Step 3: Cross multiply
    15,965.44x = 43,255.69 × 43,255.69
  4. Step 4: Simplify right side
    15,965.44x = 1,871,054,501.10
  5. Step 5: Solve for x
    x = 1,871,054,501.10/15,965.44
  6. Step 6: Final answer
    x = 117,194.06

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.