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Finding the Third Proportional to 2,946 and 3,731

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Solution

The third proportional to 2,946 and 3,731 is: 4,725.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946 : 3,731 = 3,731 : x
  2. Step 2: Convert to fraction form
    2,946/3,731 = 3,731/x
  3. Step 3: Cross multiply
    2,946x = 3,731 × 3,731
  4. Step 4: Simplify right side
    2,946x = 13,920,361
  5. Step 5: Solve for x
    x = 13,920,361/2,946
  6. Step 6: Final answer
    x = 4,725.17

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.