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Finding the Third Proportional to 35,197.03 and 74,790.84

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Solution

The third proportional to 35,197.03 and 74,790.84 is: 158,924.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,197.03 : 74,790.84 = 74,790.84 : x
  2. Step 2: Convert to fraction form
    35,197.03/74,790.84 = 74,790.84/x
  3. Step 3: Cross multiply
    35,197.03x = 74,790.84 × 74,790.84
  4. Step 4: Simplify right side
    35,197.03x = 5,593,670,308.84
  5. Step 5: Solve for x
    x = 5,593,670,308.84/35,197.03
  6. Step 6: Final answer
    x = 158,924.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.