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Finding the Third Proportional to 14,941.13 and 35,219.81

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Solution

The third proportional to 14,941.13 and 35,219.81 is: 83,021.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,941.13 : 35,219.81 = 35,219.81 : x
  2. Step 2: Convert to fraction form
    14,941.13/35,219.81 = 35,219.81/x
  3. Step 3: Cross multiply
    14,941.13x = 35,219.81 × 35,219.81
  4. Step 4: Simplify right side
    14,941.13x = 1,240,435,192.54
  5. Step 5: Solve for x
    x = 1,240,435,192.54/14,941.13
  6. Step 6: Final answer
    x = 83,021.54

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.