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Finding the Third Proportional to 37,428.75 and 57,692.25

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Solution

The third proportional to 37,428.75 and 57,692.25 is: 88,926.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,428.75 : 57,692.25 = 57,692.25 : x
  2. Step 2: Convert to fraction form
    37,428.75/57,692.25 = 57,692.25/x
  3. Step 3: Cross multiply
    37,428.75x = 57,692.25 × 57,692.25
  4. Step 4: Simplify right side
    37,428.75x = 3,328,395,710.06
  5. Step 5: Solve for x
    x = 3,328,395,710.06/37,428.75
  6. Step 6: Final answer
    x = 88,926.18

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.