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Finding the Third Proportional to 30,104 and 45,156

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Solution

The third proportional to 30,104 and 45,156 is: 67,734

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,104 : 45,156 = 45,156 : x
  2. Step 2: Convert to fraction form
    30,104/45,156 = 45,156/x
  3. Step 3: Cross multiply
    30,104x = 45,156 × 45,156
  4. Step 4: Simplify right side
    30,104x = 2,039,064,336
  5. Step 5: Solve for x
    x = 2,039,064,336/30,104
  6. Step 6: Final answer
    x = 67,734

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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.