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Finding the Third Proportional to 21,438 and 32,976.75

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Solution

The third proportional to 21,438 and 32,976.75 is: 50,726.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,438 : 32,976.75 = 32,976.75 : x
  2. Step 2: Convert to fraction form
    21,438/32,976.75 = 32,976.75/x
  3. Step 3: Cross multiply
    21,438x = 32,976.75 × 32,976.75
  4. Step 4: Simplify right side
    21,438x = 1,087,466,040.56
  5. Step 5: Solve for x
    x = 1,087,466,040.56/21,438
  6. Step 6: Final answer
    x = 50,726.10

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.