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Finding the Third Proportional to 9,271 and 19,157

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Solution

The third proportional to 9,271 and 19,157 is: 39,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271 : 19,157 = 19,157 : x
  2. Step 2: Convert to fraction form
    9,271/19,157 = 19,157/x
  3. Step 3: Cross multiply
    9,271x = 19,157 × 19,157
  4. Step 4: Simplify right side
    9,271x = 366,990,649
  5. Step 5: Solve for x
    x = 366,990,649/9,271
  6. Step 6: Final answer
    x = 39,584.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.