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Finding the Third Proportional to 21,000 and 31,388

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Solution

The third proportional to 21,000 and 31,388 is: 46,914.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000 : 31,388 = 31,388 : x
  2. Step 2: Convert to fraction form
    21,000/31,388 = 31,388/x
  3. Step 3: Cross multiply
    21,000x = 31,388 × 31,388
  4. Step 4: Simplify right side
    21,000x = 985,206,544
  5. Step 5: Solve for x
    x = 985,206,544/21,000
  6. Step 6: Final answer
    x = 46,914.60

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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.