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Finding the Third Proportional to 12,970 and 20,385

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Solution

The third proportional to 12,970 and 20,385 is: 32,039.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970 : 20,385 = 20,385 : x
  2. Step 2: Convert to fraction form
    12,970/20,385 = 20,385/x
  3. Step 3: Cross multiply
    12,970x = 20,385 × 20,385
  4. Step 4: Simplify right side
    12,970x = 415,548,225
  5. Step 5: Solve for x
    x = 415,548,225/12,970
  6. Step 6: Final answer
    x = 32,039.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.