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Finding the Third Proportional to 30,896.13 and 67,455.50

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Solution

The third proportional to 30,896.13 and 67,455.50 is: 147,275.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,896.13 : 67,455.50 = 67,455.50 : x
  2. Step 2: Convert to fraction form
    30,896.13/67,455.50 = 67,455.50/x
  3. Step 3: Cross multiply
    30,896.13x = 67,455.50 × 67,455.50
  4. Step 4: Simplify right side
    30,896.13x = 4,550,244,480.25
  5. Step 5: Solve for x
    x = 4,550,244,480.25/30,896.13
  6. Step 6: Final answer
    x = 147,275.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.