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Finding the Third Proportional to 8,294 and 12,946

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Solution

The third proportional to 8,294 and 12,946 is: 20,207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294 : 12,946 = 12,946 : x
  2. Step 2: Convert to fraction form
    8,294/12,946 = 12,946/x
  3. Step 3: Cross multiply
    8,294x = 12,946 × 12,946
  4. Step 4: Simplify right side
    8,294x = 167,598,916
  5. Step 5: Solve for x
    x = 167,598,916/8,294
  6. Step 6: Final answer
    x = 20,207.25

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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.