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Finding the Third Proportional to 21,946 and 34,206

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Solution

The third proportional to 21,946 and 34,206 is: 53,314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,946 : 34,206 = 34,206 : x
  2. Step 2: Convert to fraction form
    21,946/34,206 = 34,206/x
  3. Step 3: Cross multiply
    21,946x = 34,206 × 34,206
  4. Step 4: Simplify right side
    21,946x = 1,170,050,436
  5. Step 5: Solve for x
    x = 1,170,050,436/21,946
  6. Step 6: Final answer
    x = 53,314.97

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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.