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Finding the Third Proportional to 23,069 and 31,957

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Solution

The third proportional to 23,069 and 31,957 is: 44,269.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,069 : 31,957 = 31,957 : x
  2. Step 2: Convert to fraction form
    23,069/31,957 = 31,957/x
  3. Step 3: Cross multiply
    23,069x = 31,957 × 31,957
  4. Step 4: Simplify right side
    23,069x = 1,021,249,849
  5. Step 5: Solve for x
    x = 1,021,249,849/23,069
  6. Step 6: Final answer
    x = 44,269.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.