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Finding the Third Proportional to 21,463.59 and 32,833.41

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Solution

The third proportional to 21,463.59 and 32,833.41 is: 50,226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,463.59 : 32,833.41 = 32,833.41 : x
  2. Step 2: Convert to fraction form
    21,463.59/32,833.41 = 32,833.41/x
  3. Step 3: Cross multiply
    21,463.59x = 32,833.41 × 32,833.41
  4. Step 4: Simplify right side
    21,463.59x = 1,078,032,565.98
  5. Step 5: Solve for x
    x = 1,078,032,565.98/21,463.59
  6. Step 6: Final answer
    x = 50,226.10

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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.