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Finding the Third Proportional to 32,988 and 50,964

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Solution

The third proportional to 32,988 and 50,964 is: 78,735.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,988 : 50,964 = 50,964 : x
  2. Step 2: Convert to fraction form
    32,988/50,964 = 50,964/x
  3. Step 3: Cross multiply
    32,988x = 50,964 × 50,964
  4. Step 4: Simplify right side
    32,988x = 2,597,329,296
  5. Step 5: Solve for x
    x = 2,597,329,296/32,988
  6. Step 6: Final answer
    x = 78,735.58

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.