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Finding the Third Proportional to 20,887.50 and 32,817

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Solution

The third proportional to 20,887.50 and 32,817 is: 51,559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,887.50 : 32,817 = 32,817 : x
  2. Step 2: Convert to fraction form
    20,887.50/32,817 = 32,817/x
  3. Step 3: Cross multiply
    20,887.50x = 32,817 × 32,817
  4. Step 4: Simplify right side
    20,887.50x = 1,076,955,489
  5. Step 5: Solve for x
    x = 1,076,955,489/20,887.50
  6. Step 6: Final answer
    x = 51,559.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.