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Finding the Third Proportional to 21,000 and 31,938

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Solution

The third proportional to 21,000 and 31,938 is: 48,573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000 : 31,938 = 31,938 : x
  2. Step 2: Convert to fraction form
    21,000/31,938 = 31,938/x
  3. Step 3: Cross multiply
    21,000x = 31,938 × 31,938
  4. Step 4: Simplify right side
    21,000x = 1,020,035,844
  5. Step 5: Solve for x
    x = 1,020,035,844/21,000
  6. Step 6: Final answer
    x = 48,573.14

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.