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Finding the Third Proportional to 23,449.50 and 35,181.84

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Solution

The third proportional to 23,449.50 and 35,181.84 is: 52,784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,449.50 : 35,181.84 = 35,181.84 : x
  2. Step 2: Convert to fraction form
    23,449.50/35,181.84 = 35,181.84/x
  3. Step 3: Cross multiply
    23,449.50x = 35,181.84 × 35,181.84
  4. Step 4: Simplify right side
    23,449.50x = 1,237,762,129.65
  5. Step 5: Solve for x
    x = 1,237,762,129.65/23,449.50
  6. Step 6: Final answer
    x = 52,784.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.