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Finding the Third Proportional to 11,178 and 24,219

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Solution

The third proportional to 11,178 and 24,219 is: 52,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178 : 24,219 = 24,219 : x
  2. Step 2: Convert to fraction form
    11,178/24,219 = 24,219/x
  3. Step 3: Cross multiply
    11,178x = 24,219 × 24,219
  4. Step 4: Simplify right side
    11,178x = 586,559,961
  5. Step 5: Solve for x
    x = 586,559,961/11,178
  6. Step 6: Final answer
    x = 52,474.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.