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Finding the Third Proportional to 32,772 and 70,764

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Solution

The third proportional to 32,772 and 70,764 is: 152,799.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,772 : 70,764 = 70,764 : x
  2. Step 2: Convert to fraction form
    32,772/70,764 = 70,764/x
  3. Step 3: Cross multiply
    32,772x = 70,764 × 70,764
  4. Step 4: Simplify right side
    32,772x = 5,007,543,696
  5. Step 5: Solve for x
    x = 5,007,543,696/32,772
  6. Step 6: Final answer
    x = 152,799.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.