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Finding the Third Proportional to 32,762 and 49,083

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Solution

The third proportional to 32,762 and 49,083 is: 73,534.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,762 : 49,083 = 49,083 : x
  2. Step 2: Convert to fraction form
    32,762/49,083 = 49,083/x
  3. Step 3: Cross multiply
    32,762x = 49,083 × 49,083
  4. Step 4: Simplify right side
    32,762x = 2,409,140,889
  5. Step 5: Solve for x
    x = 2,409,140,889/32,762
  6. Step 6: Final answer
    x = 73,534.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.