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Finding the Third Proportional to 26,772 and 42,764

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Solution

The third proportional to 26,772 and 42,764 is: 68,308.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,772 : 42,764 = 42,764 : x
  2. Step 2: Convert to fraction form
    26,772/42,764 = 42,764/x
  3. Step 3: Cross multiply
    26,772x = 42,764 × 42,764
  4. Step 4: Simplify right side
    26,772x = 1,828,759,696
  5. Step 5: Solve for x
    x = 1,828,759,696/26,772
  6. Step 6: Final answer
    x = 68,308.67

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.