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Finding the Third Proportional to 32,759.75 and 78,009.88

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Solution

The third proportional to 32,759.75 and 78,009.88 is: 185,762.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,759.75 : 78,009.88 = 78,009.88 : x
  2. Step 2: Convert to fraction form
    32,759.75/78,009.88 = 78,009.88/x
  3. Step 3: Cross multiply
    32,759.75x = 78,009.88 × 78,009.88
  4. Step 4: Simplify right side
    32,759.75x = 6,085,540,597.52
  5. Step 5: Solve for x
    x = 6,085,540,597.52/32,759.75
  6. Step 6: Final answer
    x = 185,762.73

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.