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Finding the Third Proportional to 21,318 and 31,752

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Solution

The third proportional to 21,318 and 31,752 is: 47,292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,318 : 31,752 = 31,752 : x
  2. Step 2: Convert to fraction form
    21,318/31,752 = 31,752/x
  3. Step 3: Cross multiply
    21,318x = 31,752 × 31,752
  4. Step 4: Simplify right side
    21,318x = 1,008,189,504
  5. Step 5: Solve for x
    x = 1,008,189,504/21,318
  6. Step 6: Final answer
    x = 47,292.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.