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Finding the Third Proportional to 18,599 and 26,074.50

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Solution

The third proportional to 18,599 and 26,074.50 is: 36,554.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,599 : 26,074.50 = 26,074.50 : x
  2. Step 2: Convert to fraction form
    18,599/26,074.50 = 26,074.50/x
  3. Step 3: Cross multiply
    18,599x = 26,074.50 × 26,074.50
  4. Step 4: Simplify right side
    18,599x = 679,879,550.25
  5. Step 5: Solve for x
    x = 679,879,550.25/18,599
  6. Step 6: Final answer
    x = 36,554.63

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.