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Finding the Third Proportional to 21,389.63 and 32,919.75

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Solution

The third proportional to 21,389.63 and 32,919.75 is: 50,665.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,389.63 : 32,919.75 = 32,919.75 : x
  2. Step 2: Convert to fraction form
    21,389.63/32,919.75 = 32,919.75/x
  3. Step 3: Cross multiply
    21,389.63x = 32,919.75 × 32,919.75
  4. Step 4: Simplify right side
    21,389.63x = 1,083,709,940.06
  5. Step 5: Solve for x
    x = 1,083,709,940.06/21,389.63
  6. Step 6: Final answer
    x = 50,665.21

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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.