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Finding the Third Proportional to 10,692.25 and 25,726.38

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Solution

The third proportional to 10,692.25 and 25,726.38 is: 61,899.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.25 : 25,726.38 = 25,726.38 : x
  2. Step 2: Convert to fraction form
    10,692.25/25,726.38 = 25,726.38/x
  3. Step 3: Cross multiply
    10,692.25x = 25,726.38 × 25,726.38
  4. Step 4: Simplify right side
    10,692.25x = 661,846,370.64
  5. Step 5: Solve for x
    x = 661,846,370.64/10,692.25
  6. Step 6: Final answer
    x = 61,899.63

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.