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Finding the Third Proportional to 19,017.50 and 41,254

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Solution

The third proportional to 19,017.50 and 41,254 is: 89,490.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,017.50 : 41,254 = 41,254 : x
  2. Step 2: Convert to fraction form
    19,017.50/41,254 = 41,254/x
  3. Step 3: Cross multiply
    19,017.50x = 41,254 × 41,254
  4. Step 4: Simplify right side
    19,017.50x = 1,701,892,516
  5. Step 5: Solve for x
    x = 1,701,892,516/19,017.50
  6. Step 6: Final answer
    x = 89,490.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.