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Finding the Third Proportional to 12,970 and 20,265

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Solution

The third proportional to 12,970 and 20,265 is: 31,663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970 : 20,265 = 20,265 : x
  2. Step 2: Convert to fraction form
    12,970/20,265 = 20,265/x
  3. Step 3: Cross multiply
    12,970x = 20,265 × 20,265
  4. Step 4: Simplify right side
    12,970x = 410,670,225
  5. Step 5: Solve for x
    x = 410,670,225/12,970
  6. Step 6: Final answer
    x = 31,663.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.