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Finding the Third Proportional to 3,007.31 and 4,419.84

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Solution

The third proportional to 3,007.31 and 4,419.84 is: 6,495.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.31 : 4,419.84 = 4,419.84 : x
  2. Step 2: Convert to fraction form
    3,007.31/4,419.84 = 4,419.84/x
  3. Step 3: Cross multiply
    3,007.31x = 4,419.84 × 4,419.84
  4. Step 4: Simplify right side
    3,007.31x = 19,535,018.77
  5. Step 5: Solve for x
    x = 19,535,018.77/3,007.31
  6. Step 6: Final answer
    x = 6,495.84

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.