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Finding the Third Proportional to 24,178 and 52,558.75

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Solution

The third proportional to 24,178 and 52,558.75 is: 114,253.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,178 : 52,558.75 = 52,558.75 : x
  2. Step 2: Convert to fraction form
    24,178/52,558.75 = 52,558.75/x
  3. Step 3: Cross multiply
    24,178x = 52,558.75 × 52,558.75
  4. Step 4: Simplify right side
    24,178x = 2,762,422,201.56
  5. Step 5: Solve for x
    x = 2,762,422,201.56/24,178
  6. Step 6: Final answer
    x = 114,253.54

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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.