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Finding the Third Proportional to 19,567 and 22,028

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Solution

The third proportional to 19,567 and 22,028 is: 24,798.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,567 : 22,028 = 22,028 : x
  2. Step 2: Convert to fraction form
    19,567/22,028 = 22,028/x
  3. Step 3: Cross multiply
    19,567x = 22,028 × 22,028
  4. Step 4: Simplify right side
    19,567x = 485,232,784
  5. Step 5: Solve for x
    x = 485,232,784/19,567
  6. Step 6: Final answer
    x = 24,798.53

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.