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Finding the Third Proportional to 19,530 and 30,303

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Solution

The third proportional to 19,530 and 30,303 is: 47,018.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,530 : 30,303 = 30,303 : x
  2. Step 2: Convert to fraction form
    19,530/30,303 = 30,303/x
  3. Step 3: Cross multiply
    19,530x = 30,303 × 30,303
  4. Step 4: Simplify right side
    19,530x = 918,271,809
  5. Step 5: Solve for x
    x = 918,271,809/19,530
  6. Step 6: Final answer
    x = 47,018.53

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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.