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Finding the Third Proportional to 19,202 and 45,797

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Solution

The third proportional to 19,202 and 45,797 is: 109,226.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,202 : 45,797 = 45,797 : x
  2. Step 2: Convert to fraction form
    19,202/45,797 = 45,797/x
  3. Step 3: Cross multiply
    19,202x = 45,797 × 45,797
  4. Step 4: Simplify right side
    19,202x = 2,097,365,209
  5. Step 5: Solve for x
    x = 2,097,365,209/19,202
  6. Step 6: Final answer
    x = 109,226.39

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.