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Finding the Third Proportional to 35,600.50 and 75,802.75

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Solution

The third proportional to 35,600.50 and 75,802.75 is: 161,403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,600.50 : 75,802.75 = 75,802.75 : x
  2. Step 2: Convert to fraction form
    35,600.50/75,802.75 = 75,802.75/x
  3. Step 3: Cross multiply
    35,600.50x = 75,802.75 × 75,802.75
  4. Step 4: Simplify right side
    35,600.50x = 5,746,056,907.56
  5. Step 5: Solve for x
    x = 5,746,056,907.56/35,600.50
  6. Step 6: Final answer
    x = 161,403.83

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.