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Finding the Third Proportional to 21,463.88 and 32,833.88

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Solution

The third proportional to 21,463.88 and 32,833.88 is: 50,226.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,463.88 : 32,833.88 = 32,833.88 : x
  2. Step 2: Convert to fraction form
    21,463.88/32,833.88 = 32,833.88/x
  3. Step 3: Cross multiply
    21,463.88x = 32,833.88 × 32,833.88
  4. Step 4: Simplify right side
    21,463.88x = 1,078,063,347.52
  5. Step 5: Solve for x
    x = 1,078,063,347.52/21,463.88
  6. Step 6: Final answer
    x = 50,226.87

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.