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Finding the Third Proportional to 19,760 and 31,268

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Solution

The third proportional to 19,760 and 31,268 is: 49,478.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,760 : 31,268 = 31,268 : x
  2. Step 2: Convert to fraction form
    19,760/31,268 = 31,268/x
  3. Step 3: Cross multiply
    19,760x = 31,268 × 31,268
  4. Step 4: Simplify right side
    19,760x = 977,687,824
  5. Step 5: Solve for x
    x = 977,687,824/19,760
  6. Step 6: Final answer
    x = 49,478.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.