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Finding the Third Proportional to 32,988 and 49,764

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Solution

The third proportional to 32,988 and 49,764 is: 75,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,988 : 49,764 = 49,764 : x
  2. Step 2: Convert to fraction form
    32,988/49,764 = 49,764/x
  3. Step 3: Cross multiply
    32,988x = 49,764 × 49,764
  4. Step 4: Simplify right side
    32,988x = 2,476,455,696
  5. Step 5: Solve for x
    x = 2,476,455,696/32,988
  6. Step 6: Final answer
    x = 75,071.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.