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Finding the Third Proportional to 21,924 and 33,032.81

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Solution

The third proportional to 21,924 and 33,032.81 is: 49,770.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,924 : 33,032.81 = 33,032.81 : x
  2. Step 2: Convert to fraction form
    21,924/33,032.81 = 33,032.81/x
  3. Step 3: Cross multiply
    21,924x = 33,032.81 × 33,032.81
  4. Step 4: Simplify right side
    21,924x = 1,091,166,701.66
  5. Step 5: Solve for x
    x = 1,091,166,701.66/21,924
  6. Step 6: Final answer
    x = 49,770.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.