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Finding the Third Proportional to 17,891.50 and 26,290

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Solution

The third proportional to 17,891.50 and 26,290 is: 38,630.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,891.50 : 26,290 = 26,290 : x
  2. Step 2: Convert to fraction form
    17,891.50/26,290 = 26,290/x
  3. Step 3: Cross multiply
    17,891.50x = 26,290 × 26,290
  4. Step 4: Simplify right side
    17,891.50x = 691,164,100
  5. Step 5: Solve for x
    x = 691,164,100/17,891.50
  6. Step 6: Final answer
    x = 38,630.86

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.