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Finding the Third Proportional to 22,032 and 31,407

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Solution

The third proportional to 22,032 and 31,407 is: 44,771.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,032 : 31,407 = 31,407 : x
  2. Step 2: Convert to fraction form
    22,032/31,407 = 31,407/x
  3. Step 3: Cross multiply
    22,032x = 31,407 × 31,407
  4. Step 4: Simplify right side
    22,032x = 986,399,649
  5. Step 5: Solve for x
    x = 986,399,649/22,032
  6. Step 6: Final answer
    x = 44,771.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.