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Finding the Third Proportional to 34,628.77 and 75,825.84

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Solution

The third proportional to 34,628.77 and 75,825.84 is: 166,034.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,628.77 : 75,825.84 = 75,825.84 : x
  2. Step 2: Convert to fraction form
    34,628.77/75,825.84 = 75,825.84/x
  3. Step 3: Cross multiply
    34,628.77x = 75,825.84 × 75,825.84
  4. Step 4: Simplify right side
    34,628.77x = 5,749,558,580.40
  5. Step 5: Solve for x
    x = 5,749,558,580.40/34,628.77
  6. Step 6: Final answer
    x = 166,034.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.