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Finding the Third Proportional to 12,076 and 16,249.50

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Solution

The third proportional to 12,076 and 16,249.50 is: 21,865.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076 : 16,249.50 = 16,249.50 : x
  2. Step 2: Convert to fraction form
    12,076/16,249.50 = 16,249.50/x
  3. Step 3: Cross multiply
    12,076x = 16,249.50 × 16,249.50
  4. Step 4: Simplify right side
    12,076x = 264,046,250.25
  5. Step 5: Solve for x
    x = 264,046,250.25/12,076
  6. Step 6: Final answer
    x = 21,865.37

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.