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Finding the Third Proportional to 19,816 and 32,579

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Solution

The third proportional to 19,816 and 32,579 is: 53,562.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,816 : 32,579 = 32,579 : x
  2. Step 2: Convert to fraction form
    19,816/32,579 = 32,579/x
  3. Step 3: Cross multiply
    19,816x = 32,579 × 32,579
  4. Step 4: Simplify right side
    19,816x = 1,061,391,241
  5. Step 5: Solve for x
    x = 1,061,391,241/19,816
  6. Step 6: Final answer
    x = 53,562.34

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.