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Finding the Third Proportional to 17,570 and 28,091

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Solution

The third proportional to 17,570 and 28,091 is: 44,912.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,570 : 28,091 = 28,091 : x
  2. Step 2: Convert to fraction form
    17,570/28,091 = 28,091/x
  3. Step 3: Cross multiply
    17,570x = 28,091 × 28,091
  4. Step 4: Simplify right side
    17,570x = 789,104,281
  5. Step 5: Solve for x
    x = 789,104,281/17,570
  6. Step 6: Final answer
    x = 44,912.03

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.