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Finding the Third Proportional to 19,784 and 32,028

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Solution

The third proportional to 19,784 and 32,028 is: 51,849.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784 : 32,028 = 32,028 : x
  2. Step 2: Convert to fraction form
    19,784/32,028 = 32,028/x
  3. Step 3: Cross multiply
    19,784x = 32,028 × 32,028
  4. Step 4: Simplify right side
    19,784x = 1,025,792,784
  5. Step 5: Solve for x
    x = 1,025,792,784/19,784
  6. Step 6: Final answer
    x = 51,849.62

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.