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Finding the Third Proportional to 19,622.75 and 28,024.38

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Solution

The third proportional to 19,622.75 and 28,024.38 is: 40,023.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,622.75 : 28,024.38 = 28,024.38 : x
  2. Step 2: Convert to fraction form
    19,622.75/28,024.38 = 28,024.38/x
  3. Step 3: Cross multiply
    19,622.75x = 28,024.38 × 28,024.38
  4. Step 4: Simplify right side
    19,622.75x = 785,365,594.14
  5. Step 5: Solve for x
    x = 785,365,594.14/19,622.75
  6. Step 6: Final answer
    x = 40,023.22

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1.5x scale

Why These Related Problems?

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