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Finding the Third Proportional to 21,801.75 and 32,862.38

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Solution

The third proportional to 21,801.75 and 32,862.38 is: 49,534.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,801.75 : 32,862.38 = 32,862.38 : x
  2. Step 2: Convert to fraction form
    21,801.75/32,862.38 = 32,862.38/x
  3. Step 3: Cross multiply
    21,801.75x = 32,862.38 × 32,862.38
  4. Step 4: Simplify right side
    21,801.75x = 1,079,935,690.64
  5. Step 5: Solve for x
    x = 1,079,935,690.64/21,801.75
  6. Step 6: Final answer
    x = 49,534.36

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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.