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Finding the Third Proportional to 32,412.50 and 50,002

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Solution

The third proportional to 32,412.50 and 50,002 is: 77,136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412.50 : 50,002 = 50,002 : x
  2. Step 2: Convert to fraction form
    32,412.50/50,002 = 50,002/x
  3. Step 3: Cross multiply
    32,412.50x = 50,002 × 50,002
  4. Step 4: Simplify right side
    32,412.50x = 2,500,200,004
  5. Step 5: Solve for x
    x = 2,500,200,004/32,412.50
  6. Step 6: Final answer
    x = 77,136.91

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.