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Finding the Third Proportional to 35,793.56 and 75,503.81

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Solution

The third proportional to 35,793.56 and 75,503.81 is: 159,269.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,793.56 : 75,503.81 = 75,503.81 : x
  2. Step 2: Convert to fraction form
    35,793.56/75,503.81 = 75,503.81/x
  3. Step 3: Cross multiply
    35,793.56x = 75,503.81 × 75,503.81
  4. Step 4: Simplify right side
    35,793.56x = 5,700,825,702.04
  5. Step 5: Solve for x
    x = 5,700,825,702.04/35,793.56
  6. Step 6: Final answer
    x = 159,269.58

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.