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Finding the Third Proportional to 30,832.50 and 63,121.50

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Solution

The third proportional to 30,832.50 and 63,121.50 is: 129,224.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,832.50 : 63,121.50 = 63,121.50 : x
  2. Step 2: Convert to fraction form
    30,832.50/63,121.50 = 63,121.50/x
  3. Step 3: Cross multiply
    30,832.50x = 63,121.50 × 63,121.50
  4. Step 4: Simplify right side
    30,832.50x = 3,984,323,762.25
  5. Step 5: Solve for x
    x = 3,984,323,762.25/30,832.50
  6. Step 6: Final answer
    x = 129,224.80

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.