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Finding the Third Proportional to 39,759.56 and 85,746.47

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Solution

The third proportional to 39,759.56 and 85,746.47 is: 184,922.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,759.56 : 85,746.47 = 85,746.47 : x
  2. Step 2: Convert to fraction form
    39,759.56/85,746.47 = 85,746.47/x
  3. Step 3: Cross multiply
    39,759.56x = 85,746.47 × 85,746.47
  4. Step 4: Simplify right side
    39,759.56x = 7,352,456,903.09
  5. Step 5: Solve for x
    x = 7,352,456,903.09/39,759.56
  6. Step 6: Final answer
    x = 184,922.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.