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Finding the Third Proportional to 32,898 and 50,955

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Solution

The third proportional to 32,898 and 50,955 is: 78,923.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,898 : 50,955 = 50,955 : x
  2. Step 2: Convert to fraction form
    32,898/50,955 = 50,955/x
  3. Step 3: Cross multiply
    32,898x = 50,955 × 50,955
  4. Step 4: Simplify right side
    32,898x = 2,596,412,025
  5. Step 5: Solve for x
    x = 2,596,412,025/32,898
  6. Step 6: Final answer
    x = 78,923.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.