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Finding the Third Proportional to 30,768.50 and 66,937

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Solution

The third proportional to 30,768.50 and 66,937 is: 145,621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,768.50 : 66,937 = 66,937 : x
  2. Step 2: Convert to fraction form
    30,768.50/66,937 = 66,937/x
  3. Step 3: Cross multiply
    30,768.50x = 66,937 × 66,937
  4. Step 4: Simplify right side
    30,768.50x = 4,480,561,969
  5. Step 5: Solve for x
    x = 4,480,561,969/30,768.50
  6. Step 6: Final answer
    x = 145,621.72

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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.