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Finding the Third Proportional to 30,222 and 65,635

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Solution

The third proportional to 30,222 and 65,635 is: 142,543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,222 : 65,635 = 65,635 : x
  2. Step 2: Convert to fraction form
    30,222/65,635 = 65,635/x
  3. Step 3: Cross multiply
    30,222x = 65,635 × 65,635
  4. Step 4: Simplify right side
    30,222x = 4,307,953,225
  5. Step 5: Solve for x
    x = 4,307,953,225/30,222
  6. Step 6: Final answer
    x = 142,543.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.