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Finding the Third Proportional to 35,059.50 and 75,036.94

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Solution

The third proportional to 35,059.50 and 75,036.94 is: 160,599.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,059.50 : 75,036.94 = 75,036.94 : x
  2. Step 2: Convert to fraction form
    35,059.50/75,036.94 = 75,036.94/x
  3. Step 3: Cross multiply
    35,059.50x = 75,036.94 × 75,036.94
  4. Step 4: Simplify right side
    35,059.50x = 5,630,541,989.38
  5. Step 5: Solve for x
    x = 5,630,541,989.38/35,059.50
  6. Step 6: Final answer
    x = 160,599.61

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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.