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Finding the Third Proportional to 19,119.19 and 41,315.06

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Solution

The third proportional to 19,119.19 and 41,315.06 is: 89,278.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,119.19 : 41,315.06 = 41,315.06 : x
  2. Step 2: Convert to fraction form
    19,119.19/41,315.06 = 41,315.06/x
  3. Step 3: Cross multiply
    19,119.19x = 41,315.06 × 41,315.06
  4. Step 4: Simplify right side
    19,119.19x = 1,706,934,389.38
  5. Step 5: Solve for x
    x = 1,706,934,389.38/19,119.19
  6. Step 6: Final answer
    x = 89,278.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.