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Finding the Third Proportional to 30,489 and 45,814

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Solution

The third proportional to 30,489 and 45,814 is: 68,841.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,489 : 45,814 = 45,814 : x
  2. Step 2: Convert to fraction form
    30,489/45,814 = 45,814/x
  3. Step 3: Cross multiply
    30,489x = 45,814 × 45,814
  4. Step 4: Simplify right side
    30,489x = 2,098,922,596
  5. Step 5: Solve for x
    x = 2,098,922,596/30,489
  6. Step 6: Final answer
    x = 68,841.96

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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.