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Finding the Third Proportional to 16,946 and 36,340

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Solution

The third proportional to 16,946 and 36,340 is: 77,929.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,946 : 36,340 = 36,340 : x
  2. Step 2: Convert to fraction form
    16,946/36,340 = 36,340/x
  3. Step 3: Cross multiply
    16,946x = 36,340 × 36,340
  4. Step 4: Simplify right side
    16,946x = 1,320,595,600
  5. Step 5: Solve for x
    x = 1,320,595,600/16,946
  6. Step 6: Final answer
    x = 77,929.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.