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Finding the Third Proportional to 21,178 and 31,151

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Solution

The third proportional to 21,178 and 31,151 is: 45,820.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,178 : 31,151 = 31,151 : x
  2. Step 2: Convert to fraction form
    21,178/31,151 = 31,151/x
  3. Step 3: Cross multiply
    21,178x = 31,151 × 31,151
  4. Step 4: Simplify right side
    21,178x = 970,384,801
  5. Step 5: Solve for x
    x = 970,384,801/21,178
  6. Step 6: Final answer
    x = 45,820.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.