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Finding the Third Proportional to 39,937.75 and 85,485.88

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Solution

The third proportional to 39,937.75 and 85,485.88 is: 182,980.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,937.75 : 85,485.88 = 85,485.88 : x
  2. Step 2: Convert to fraction form
    39,937.75/85,485.88 = 85,485.88/x
  3. Step 3: Cross multiply
    39,937.75x = 85,485.88 × 85,485.88
  4. Step 4: Simplify right side
    39,937.75x = 7,307,834,824.52
  5. Step 5: Solve for x
    x = 7,307,834,824.52/39,937.75
  6. Step 6: Final answer
    x = 182,980.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.