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Finding the Third Proportional to 35,800.50 and 75,199.50

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Solution

The third proportional to 35,800.50 and 75,199.50 is: 157,957.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,800.50 : 75,199.50 = 75,199.50 : x
  2. Step 2: Convert to fraction form
    35,800.50/75,199.50 = 75,199.50/x
  3. Step 3: Cross multiply
    35,800.50x = 75,199.50 × 75,199.50
  4. Step 4: Simplify right side
    35,800.50x = 5,654,964,800.25
  5. Step 5: Solve for x
    x = 5,654,964,800.25/35,800.50
  6. Step 6: Final answer
    x = 157,957.70

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.