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Finding the Third Proportional to 35,235 and 41,998.50

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Solution

The third proportional to 35,235 and 41,998.50 is: 50,060.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,235 : 41,998.50 = 41,998.50 : x
  2. Step 2: Convert to fraction form
    35,235/41,998.50 = 41,998.50/x
  3. Step 3: Cross multiply
    35,235x = 41,998.50 × 41,998.50
  4. Step 4: Simplify right side
    35,235x = 1,763,874,002.25
  5. Step 5: Solve for x
    x = 1,763,874,002.25/35,235
  6. Step 6: Final answer
    x = 50,060.28

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These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.