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Finding the Third Proportional to 21,148 and 31,517

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Solution

The third proportional to 21,148 and 31,517 is: 46,969.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,148 : 31,517 = 31,517 : x
  2. Step 2: Convert to fraction form
    21,148/31,517 = 31,517/x
  3. Step 3: Cross multiply
    21,148x = 31,517 × 31,517
  4. Step 4: Simplify right side
    21,148x = 993,321,289
  5. Step 5: Solve for x
    x = 993,321,289/21,148
  6. Step 6: Final answer
    x = 46,969.99

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Why These Related Problems?

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