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Finding the Third Proportional to 30,155.50 and 64,318.75

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Solution

The third proportional to 30,155.50 and 64,318.75 is: 137,185.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,155.50 : 64,318.75 = 64,318.75 : x
  2. Step 2: Convert to fraction form
    30,155.50/64,318.75 = 64,318.75/x
  3. Step 3: Cross multiply
    30,155.50x = 64,318.75 × 64,318.75
  4. Step 4: Simplify right side
    30,155.50x = 4,136,901,601.56
  5. Step 5: Solve for x
    x = 4,136,901,601.56/30,155.50
  6. Step 6: Final answer
    x = 137,185.64

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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.