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Finding the Third Proportional to 14,652 and 24,054.75

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Solution

The third proportional to 14,652 and 24,054.75 is: 39,491.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652 : 24,054.75 = 24,054.75 : x
  2. Step 2: Convert to fraction form
    14,652/24,054.75 = 24,054.75/x
  3. Step 3: Cross multiply
    14,652x = 24,054.75 × 24,054.75
  4. Step 4: Simplify right side
    14,652x = 578,630,997.56
  5. Step 5: Solve for x
    x = 578,630,997.56/14,652
  6. Step 6: Final answer
    x = 39,491.61

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.