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Finding the Third Proportional to 19,202 and 30,057

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Solution

The third proportional to 19,202 and 30,057 is: 47,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,202 : 30,057 = 30,057 : x
  2. Step 2: Convert to fraction form
    19,202/30,057 = 30,057/x
  3. Step 3: Cross multiply
    19,202x = 30,057 × 30,057
  4. Step 4: Simplify right side
    19,202x = 903,423,249
  5. Step 5: Solve for x
    x = 903,423,249/19,202
  6. Step 6: Final answer
    x = 47,048.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.