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Finding the Third Proportional to 21,364.50 and 32,884.50

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Solution

The third proportional to 21,364.50 and 32,884.50 is: 50,616.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,364.50 : 32,884.50 = 32,884.50 : x
  2. Step 2: Convert to fraction form
    21,364.50/32,884.50 = 32,884.50/x
  3. Step 3: Cross multiply
    21,364.50x = 32,884.50 × 32,884.50
  4. Step 4: Simplify right side
    21,364.50x = 1,081,390,340.25
  5. Step 5: Solve for x
    x = 1,081,390,340.25/21,364.50
  6. Step 6: Final answer
    x = 50,616.23

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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.