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Finding the Third Proportional to 23,762.53 and 33,221.81

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Solution

The third proportional to 23,762.53 and 33,221.81 is: 46,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,762.53 : 33,221.81 = 33,221.81 : x
  2. Step 2: Convert to fraction form
    23,762.53/33,221.81 = 33,221.81/x
  3. Step 3: Cross multiply
    23,762.53x = 33,221.81 × 33,221.81
  4. Step 4: Simplify right side
    23,762.53x = 1,103,688,825.79
  5. Step 5: Solve for x
    x = 1,103,688,825.79/23,762.53
  6. Step 6: Final answer
    x = 46,446.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.