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Finding the Third Proportional to 1,807.31 and 2,896.17

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Solution

The third proportional to 1,807.31 and 2,896.17 is: 4,641.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.31 : 2,896.17 = 2,896.17 : x
  2. Step 2: Convert to fraction form
    1,807.31/2,896.17 = 2,896.17/x
  3. Step 3: Cross multiply
    1,807.31x = 2,896.17 × 2,896.17
  4. Step 4: Simplify right side
    1,807.31x = 8,387,811.53
  5. Step 5: Solve for x
    x = 8,387,811.53/1,807.31
  6. Step 6: Final answer
    x = 4,641.04

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.