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Finding the Third Proportional to 9,783 and 19,071

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Solution

The third proportional to 9,783 and 19,071 is: 37,177.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783 : 19,071 = 19,071 : x
  2. Step 2: Convert to fraction form
    9,783/19,071 = 19,071/x
  3. Step 3: Cross multiply
    9,783x = 19,071 × 19,071
  4. Step 4: Simplify right side
    9,783x = 363,703,041
  5. Step 5: Solve for x
    x = 363,703,041/9,783
  6. Step 6: Final answer
    x = 37,177.05

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.