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Finding the Third Proportional to 19,138.50 and 41,045.63

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Solution

The third proportional to 19,138.50 and 41,045.63 is: 88,029.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,138.50 : 41,045.63 = 41,045.63 : x
  2. Step 2: Convert to fraction form
    19,138.50/41,045.63 = 41,045.63/x
  3. Step 3: Cross multiply
    19,138.50x = 41,045.63 × 41,045.63
  4. Step 4: Simplify right side
    19,138.50x = 1,684,743,331.64
  5. Step 5: Solve for x
    x = 1,684,743,331.64/19,138.50
  6. Step 6: Final answer
    x = 88,029.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.