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Finding the Third Proportional to 2,476.31 and 3,981.94

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Solution

The third proportional to 2,476.31 and 3,981.94 is: 6,403.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.31 : 3,981.94 = 3,981.94 : x
  2. Step 2: Convert to fraction form
    2,476.31/3,981.94 = 3,981.94/x
  3. Step 3: Cross multiply
    2,476.31x = 3,981.94 × 3,981.94
  4. Step 4: Simplify right side
    2,476.31x = 15,855,826.25
  5. Step 5: Solve for x
    x = 15,855,826.25/2,476.31
  6. Step 6: Final answer
    x = 6,403.00

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.