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Finding the Third Proportional to 9,574 and 19,970

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Solution

The third proportional to 9,574 and 19,970 is: 41,654.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574 : 19,970 = 19,970 : x
  2. Step 2: Convert to fraction form
    9,574/19,970 = 19,970/x
  3. Step 3: Cross multiply
    9,574x = 19,970 × 19,970
  4. Step 4: Simplify right side
    9,574x = 398,800,900
  5. Step 5: Solve for x
    x = 398,800,900/9,574
  6. Step 6: Final answer
    x = 41,654.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.