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Finding the Third Proportional to 30,654 and 45,990

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Solution

The third proportional to 30,654 and 45,990 is: 68,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,654 : 45,990 = 45,990 : x
  2. Step 2: Convert to fraction form
    30,654/45,990 = 45,990/x
  3. Step 3: Cross multiply
    30,654x = 45,990 × 45,990
  4. Step 4: Simplify right side
    30,654x = 2,115,080,100
  5. Step 5: Solve for x
    x = 2,115,080,100/30,654
  6. Step 6: Final answer
    x = 68,998.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.