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Finding the Third Proportional to 30,220 and 45,996

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Solution

The third proportional to 30,220 and 45,996 is: 70,007.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,220 : 45,996 = 45,996 : x
  2. Step 2: Convert to fraction form
    30,220/45,996 = 45,996/x
  3. Step 3: Cross multiply
    30,220x = 45,996 × 45,996
  4. Step 4: Simplify right side
    30,220x = 2,115,632,016
  5. Step 5: Solve for x
    x = 2,115,632,016/30,220
  6. Step 6: Final answer
    x = 70,007.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.