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Finding the Third Proportional to 18,894.16 and 41,242.22

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Solution

The third proportional to 18,894.16 and 41,242.22 is: 90,023.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,894.16 : 41,242.22 = 41,242.22 : x
  2. Step 2: Convert to fraction form
    18,894.16/41,242.22 = 41,242.22/x
  3. Step 3: Cross multiply
    18,894.16x = 41,242.22 × 41,242.22
  4. Step 4: Simplify right side
    18,894.16x = 1,700,920,607.42
  5. Step 5: Solve for x
    x = 1,700,920,607.42/18,894.16
  6. Step 6: Final answer
    x = 90,023.60

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.