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Finding the Third Proportional to 29,959.31 and 65,280.94

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Solution

The third proportional to 29,959.31 and 65,280.94 is: 142,246.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,959.31 : 65,280.94 = 65,280.94 : x
  2. Step 2: Convert to fraction form
    29,959.31/65,280.94 = 65,280.94/x
  3. Step 3: Cross multiply
    29,959.31x = 65,280.94 × 65,280.94
  4. Step 4: Simplify right side
    29,959.31x = 4,261,600,800.88
  5. Step 5: Solve for x
    x = 4,261,600,800.88/29,959.31
  6. Step 6: Final answer
    x = 142,246.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.