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Finding the Third Proportional to 22,946 and 34,611

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Solution

The third proportional to 22,946 and 34,611 is: 52,206.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,946 : 34,611 = 34,611 : x
  2. Step 2: Convert to fraction form
    22,946/34,611 = 34,611/x
  3. Step 3: Cross multiply
    22,946x = 34,611 × 34,611
  4. Step 4: Simplify right side
    22,946x = 1,197,921,321
  5. Step 5: Solve for x
    x = 1,197,921,321/22,946
  6. Step 6: Final answer
    x = 52,206.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.