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Finding the Third Proportional to 21,933 and 31,365.25

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Solution

The third proportional to 21,933 and 31,365.25 is: 44,853.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,933 : 31,365.25 = 31,365.25 : x
  2. Step 2: Convert to fraction form
    21,933/31,365.25 = 31,365.25/x
  3. Step 3: Cross multiply
    21,933x = 31,365.25 × 31,365.25
  4. Step 4: Simplify right side
    21,933x = 983,778,907.56
  5. Step 5: Solve for x
    x = 983,778,907.56/21,933
  6. Step 6: Final answer
    x = 44,853.82

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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.