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Finding the Third Proportional to 35,059.50 and 75,036.75

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Solution

The third proportional to 35,059.50 and 75,036.75 is: 160,598.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,059.50 : 75,036.75 = 75,036.75 : x
  2. Step 2: Convert to fraction form
    35,059.50/75,036.75 = 75,036.75/x
  3. Step 3: Cross multiply
    35,059.50x = 75,036.75 × 75,036.75
  4. Step 4: Simplify right side
    35,059.50x = 5,630,513,850.56
  5. Step 5: Solve for x
    x = 5,630,513,850.56/35,059.50
  6. Step 6: Final answer
    x = 160,598.81

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.