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Finding the Third Proportional to 3,419.63 and 4,889.63

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Solution

The third proportional to 3,419.63 and 4,889.63 is: 6,991.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.63 : 4,889.63 = 4,889.63 : x
  2. Step 2: Convert to fraction form
    3,419.63/4,889.63 = 4,889.63/x
  3. Step 3: Cross multiply
    3,419.63x = 4,889.63 × 4,889.63
  4. Step 4: Simplify right side
    3,419.63x = 23,908,432.64
  5. Step 5: Solve for x
    x = 23,908,432.64/3,419.63
  6. Step 6: Final answer
    x = 6,991.54

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.