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Finding the Third Proportional to 19,622 and 28,023.50

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Solution

The third proportional to 19,622 and 28,023.50 is: 40,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,622 : 28,023.50 = 28,023.50 : x
  2. Step 2: Convert to fraction form
    19,622/28,023.50 = 28,023.50/x
  3. Step 3: Cross multiply
    19,622x = 28,023.50 × 28,023.50
  4. Step 4: Simplify right side
    19,622x = 785,316,552.25
  5. Step 5: Solve for x
    x = 785,316,552.25/19,622
  6. Step 6: Final answer
    x = 40,022.25

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.