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Finding the Third Proportional to 26,950 and 56,692.50

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Solution

The third proportional to 26,950 and 56,692.50 is: 119,259.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,950 : 56,692.50 = 56,692.50 : x
  2. Step 2: Convert to fraction form
    26,950/56,692.50 = 56,692.50/x
  3. Step 3: Cross multiply
    26,950x = 56,692.50 × 56,692.50
  4. Step 4: Simplify right side
    26,950x = 3,214,039,556.25
  5. Step 5: Solve for x
    x = 3,214,039,556.25/26,950
  6. Step 6: Final answer
    x = 119,259.35

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.