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Finding the Third Proportional to 32,676 and 51,768

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Solution

The third proportional to 32,676 and 51,768 is: 82,015.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,676 : 51,768 = 51,768 : x
  2. Step 2: Convert to fraction form
    32,676/51,768 = 51,768/x
  3. Step 3: Cross multiply
    32,676x = 51,768 × 51,768
  4. Step 4: Simplify right side
    32,676x = 2,679,925,824
  5. Step 5: Solve for x
    x = 2,679,925,824/32,676
  6. Step 6: Final answer
    x = 82,015.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.