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Finding the Third Proportional to 26,075.25 and 39,676.50

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Solution

The third proportional to 26,075.25 and 39,676.50 is: 60,372.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,075.25 : 39,676.50 = 39,676.50 : x
  2. Step 2: Convert to fraction form
    26,075.25/39,676.50 = 39,676.50/x
  3. Step 3: Cross multiply
    26,075.25x = 39,676.50 × 39,676.50
  4. Step 4: Simplify right side
    26,075.25x = 1,574,224,652.25
  5. Step 5: Solve for x
    x = 1,574,224,652.25/26,075.25
  6. Step 6: Final answer
    x = 60,372.37

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.