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Finding the Third Proportional to 946 and 1,957

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Solution

The third proportional to 946 and 1,957 is: 4,048.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    946 : 1,957 = 1,957 : x
  2. Step 2: Convert to fraction form
    946/1,957 = 1,957/x
  3. Step 3: Cross multiply
    946x = 1,957 × 1,957
  4. Step 4: Simplify right side
    946x = 3,829,849
  5. Step 5: Solve for x
    x = 3,829,849/946
  6. Step 6: Final answer
    x = 4,048.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.