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Finding the Third Proportional to 30,268.50 and 62,695.50

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Solution

The third proportional to 30,268.50 and 62,695.50 is: 129,861.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,268.50 : 62,695.50 = 62,695.50 : x
  2. Step 2: Convert to fraction form
    30,268.50/62,695.50 = 62,695.50/x
  3. Step 3: Cross multiply
    30,268.50x = 62,695.50 × 62,695.50
  4. Step 4: Simplify right side
    30,268.50x = 3,930,725,720.25
  5. Step 5: Solve for x
    x = 3,930,725,720.25/30,268.50
  6. Step 6: Final answer
    x = 129,861.93

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.