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Finding the Third Proportional to 35,852.25 and 52,509.75

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Solution

The third proportional to 35,852.25 and 52,509.75 is: 76,906.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,852.25 : 52,509.75 = 52,509.75 : x
  2. Step 2: Convert to fraction form
    35,852.25/52,509.75 = 52,509.75/x
  3. Step 3: Cross multiply
    35,852.25x = 52,509.75 × 52,509.75
  4. Step 4: Simplify right side
    35,852.25x = 2,757,273,845.06
  5. Step 5: Solve for x
    x = 2,757,273,845.06/35,852.25
  6. Step 6: Final answer
    x = 76,906.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.