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Finding the Third Proportional to 23,776 and 31,269

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Solution

The third proportional to 23,776 and 31,269 is: 41,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776 : 31,269 = 31,269 : x
  2. Step 2: Convert to fraction form
    23,776/31,269 = 31,269/x
  3. Step 3: Cross multiply
    23,776x = 31,269 × 31,269
  4. Step 4: Simplify right side
    23,776x = 977,750,361
  5. Step 5: Solve for x
    x = 977,750,361/23,776
  6. Step 6: Final answer
    x = 41,123.42

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.