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Finding the Third Proportional to 12,946 and 14,738

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Solution

The third proportional to 12,946 and 14,738 is: 16,778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,946 : 14,738 = 14,738 : x
  2. Step 2: Convert to fraction form
    12,946/14,738 = 14,738/x
  3. Step 3: Cross multiply
    12,946x = 14,738 × 14,738
  4. Step 4: Simplify right side
    12,946x = 217,208,644
  5. Step 5: Solve for x
    x = 217,208,644/12,946
  6. Step 6: Final answer
    x = 16,778.05

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.