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Finding the Third Proportional to 30,956 and 67,516

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Solution

The third proportional to 30,956 and 67,516 is: 147,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,956 : 67,516 = 67,516 : x
  2. Step 2: Convert to fraction form
    30,956/67,516 = 67,516/x
  3. Step 3: Cross multiply
    30,956x = 67,516 × 67,516
  4. Step 4: Simplify right side
    30,956x = 4,558,410,256
  5. Step 5: Solve for x
    x = 4,558,410,256/30,956
  6. Step 6: Final answer
    x = 147,254.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.