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Finding the Third Proportional to 21,784.50 and 33,061.50

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Solution

The third proportional to 21,784.50 and 33,061.50 is: 50,176.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,784.50 : 33,061.50 = 33,061.50 : x
  2. Step 2: Convert to fraction form
    21,784.50/33,061.50 = 33,061.50/x
  3. Step 3: Cross multiply
    21,784.50x = 33,061.50 × 33,061.50
  4. Step 4: Simplify right side
    21,784.50x = 1,093,062,782.25
  5. Step 5: Solve for x
    x = 1,093,062,782.25/21,784.50
  6. Step 6: Final answer
    x = 50,176.17

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.