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Finding the Third Proportional to 19,784 and 30,732

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Solution

The third proportional to 19,784 and 30,732 is: 47,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784 : 30,732 = 30,732 : x
  2. Step 2: Convert to fraction form
    19,784/30,732 = 30,732/x
  3. Step 3: Cross multiply
    19,784x = 30,732 × 30,732
  4. Step 4: Simplify right side
    19,784x = 944,455,824
  5. Step 5: Solve for x
    x = 944,455,824/19,784
  6. Step 6: Final answer
    x = 47,738.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.