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Finding the Third Proportional to 12,688.50 and 29,244

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Solution

The third proportional to 12,688.50 and 29,244 is: 67,400.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.50 : 29,244 = 29,244 : x
  2. Step 2: Convert to fraction form
    12,688.50/29,244 = 29,244/x
  3. Step 3: Cross multiply
    12,688.50x = 29,244 × 29,244
  4. Step 4: Simplify right side
    12,688.50x = 855,211,536
  5. Step 5: Solve for x
    x = 855,211,536/12,688.50
  6. Step 6: Final answer
    x = 67,400.52

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.