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Finding the Third Proportional to 21,194.50 and 28,783.50

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Solution

The third proportional to 21,194.50 and 28,783.50 is: 39,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194.50 : 28,783.50 = 28,783.50 : x
  2. Step 2: Convert to fraction form
    21,194.50/28,783.50 = 28,783.50/x
  3. Step 3: Cross multiply
    21,194.50x = 28,783.50 × 28,783.50
  4. Step 4: Simplify right side
    21,194.50x = 828,489,872.25
  5. Step 5: Solve for x
    x = 828,489,872.25/21,194.50
  6. Step 6: Final answer
    x = 39,089.85

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.