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Finding the Third Proportional to 35,620.50 and 75,246

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Solution

The third proportional to 35,620.50 and 75,246 is: 158,952.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,620.50 : 75,246 = 75,246 : x
  2. Step 2: Convert to fraction form
    35,620.50/75,246 = 75,246/x
  3. Step 3: Cross multiply
    35,620.50x = 75,246 × 75,246
  4. Step 4: Simplify right side
    35,620.50x = 5,661,960,516
  5. Step 5: Solve for x
    x = 5,661,960,516/35,620.50
  6. Step 6: Final answer
    x = 158,952.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.