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Finding the Third Proportional to 43,821 and 51,232.50

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Solution

The third proportional to 43,821 and 51,232.50 is: 59,897.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,821 : 51,232.50 = 51,232.50 : x
  2. Step 2: Convert to fraction form
    43,821/51,232.50 = 51,232.50/x
  3. Step 3: Cross multiply
    43,821x = 51,232.50 × 51,232.50
  4. Step 4: Simplify right side
    43,821x = 2,624,769,056.25
  5. Step 5: Solve for x
    x = 2,624,769,056.25/43,821
  6. Step 6: Final answer
    x = 59,897.52

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.