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Finding the Third Proportional to 11,679 and 24,187.50

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Solution

The third proportional to 11,679 and 24,187.50 is: 50,092.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,679 : 24,187.50 = 24,187.50 : x
  2. Step 2: Convert to fraction form
    11,679/24,187.50 = 24,187.50/x
  3. Step 3: Cross multiply
    11,679x = 24,187.50 × 24,187.50
  4. Step 4: Simplify right side
    11,679x = 585,035,156.25
  5. Step 5: Solve for x
    x = 585,035,156.25/11,679
  6. Step 6: Final answer
    x = 50,092.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.