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Finding the Third Proportional to 4,952 and 7,692.50

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Solution

The third proportional to 4,952 and 7,692.50 is: 11,949.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952 : 7,692.50 = 7,692.50 : x
  2. Step 2: Convert to fraction form
    4,952/7,692.50 = 7,692.50/x
  3. Step 3: Cross multiply
    4,952x = 7,692.50 × 7,692.50
  4. Step 4: Simplify right side
    4,952x = 59,174,556.25
  5. Step 5: Solve for x
    x = 59,174,556.25/4,952
  6. Step 6: Final answer
    x = 11,949.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.