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Finding the Third Proportional to 32,856 and 74,485.50

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Solution

The third proportional to 32,856 and 74,485.50 is: 168,860.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,856 : 74,485.50 = 74,485.50 : x
  2. Step 2: Convert to fraction form
    32,856/74,485.50 = 74,485.50/x
  3. Step 3: Cross multiply
    32,856x = 74,485.50 × 74,485.50
  4. Step 4: Simplify right side
    32,856x = 5,548,089,710.25
  5. Step 5: Solve for x
    x = 5,548,089,710.25/32,856
  6. Step 6: Final answer
    x = 168,860.78

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.