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Finding the Third Proportional to 21,883.31 and 31,868.06

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Solution

The third proportional to 21,883.31 and 31,868.06 is: 46,408.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,883.31 : 31,868.06 = 31,868.06 : x
  2. Step 2: Convert to fraction form
    21,883.31/31,868.06 = 31,868.06/x
  3. Step 3: Cross multiply
    21,883.31x = 31,868.06 × 31,868.06
  4. Step 4: Simplify right side
    21,883.31x = 1,015,573,407.50
  5. Step 5: Solve for x
    x = 1,015,573,407.50/21,883.31
  6. Step 6: Final answer
    x = 46,408.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.