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Finding the Third Proportional to 29,706.75 and 48,979.69

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Solution

The third proportional to 29,706.75 and 48,979.69 is: 80,756.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,706.75 : 48,979.69 = 48,979.69 : x
  2. Step 2: Convert to fraction form
    29,706.75/48,979.69 = 48,979.69/x
  3. Step 3: Cross multiply
    29,706.75x = 48,979.69 × 48,979.69
  4. Step 4: Simplify right side
    29,706.75x = 2,399,009,787.60
  5. Step 5: Solve for x
    x = 2,399,009,787.60/29,706.75
  6. Step 6: Final answer
    x = 80,756.39

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.