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Finding the Third Proportional to 32,298.75 and 40,793.63

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Solution

The third proportional to 32,298.75 and 40,793.63 is: 51,522.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,298.75 : 40,793.63 = 40,793.63 : x
  2. Step 2: Convert to fraction form
    32,298.75/40,793.63 = 40,793.63/x
  3. Step 3: Cross multiply
    32,298.75x = 40,793.63 × 40,793.63
  4. Step 4: Simplify right side
    32,298.75x = 1,664,119,840.64
  5. Step 5: Solve for x
    x = 1,664,119,840.64/32,298.75
  6. Step 6: Final answer
    x = 51,522.73

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.