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Finding the Third Proportional to 28,462 and 40,996.75

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Solution

The third proportional to 28,462 and 40,996.75 is: 59,051.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,462 : 40,996.75 = 40,996.75 : x
  2. Step 2: Convert to fraction form
    28,462/40,996.75 = 40,996.75/x
  3. Step 3: Cross multiply
    28,462x = 40,996.75 × 40,996.75
  4. Step 4: Simplify right side
    28,462x = 1,680,733,510.56
  5. Step 5: Solve for x
    x = 1,680,733,510.56/28,462
  6. Step 6: Final answer
    x = 59,051.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.