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Finding the Third Proportional to 12,674 and 29,615

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Solution

The third proportional to 12,674 and 29,615 is: 69,200.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674 : 29,615 = 29,615 : x
  2. Step 2: Convert to fraction form
    12,674/29,615 = 29,615/x
  3. Step 3: Cross multiply
    12,674x = 29,615 × 29,615
  4. Step 4: Simplify right side
    12,674x = 877,048,225
  5. Step 5: Solve for x
    x = 877,048,225/12,674
  6. Step 6: Final answer
    x = 69,200.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.