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Finding the Third Proportional to 32,724 and 50,220

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Solution

The third proportional to 32,724 and 50,220 is: 77,070.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,724 : 50,220 = 50,220 : x
  2. Step 2: Convert to fraction form
    32,724/50,220 = 50,220/x
  3. Step 3: Cross multiply
    32,724x = 50,220 × 50,220
  4. Step 4: Simplify right side
    32,724x = 2,522,048,400
  5. Step 5: Solve for x
    x = 2,522,048,400/32,724
  6. Step 6: Final answer
    x = 77,070.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.