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Finding the Third Proportional to 26,764 and 42,752

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Solution

The third proportional to 26,764 and 42,752 is: 68,290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,764 : 42,752 = 42,752 : x
  2. Step 2: Convert to fraction form
    26,764/42,752 = 42,752/x
  3. Step 3: Cross multiply
    26,764x = 42,752 × 42,752
  4. Step 4: Simplify right side
    26,764x = 1,827,733,504
  5. Step 5: Solve for x
    x = 1,827,733,504/26,764
  6. Step 6: Final answer
    x = 68,290.75

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