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Finding the Third Proportional to 32,157 and 39,325.50

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Solution

The third proportional to 32,157 and 39,325.50 is: 48,092.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,157 : 39,325.50 = 39,325.50 : x
  2. Step 2: Convert to fraction form
    32,157/39,325.50 = 39,325.50/x
  3. Step 3: Cross multiply
    32,157x = 39,325.50 × 39,325.50
  4. Step 4: Simplify right side
    32,157x = 1,546,494,950.25
  5. Step 5: Solve for x
    x = 1,546,494,950.25/32,157
  6. Step 6: Final answer
    x = 48,092.02

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.