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Finding the Third Proportional to 21,351 and 31,474.50

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Solution

The third proportional to 21,351 and 31,474.50 is: 46,398.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,351 : 31,474.50 = 31,474.50 : x
  2. Step 2: Convert to fraction form
    21,351/31,474.50 = 31,474.50/x
  3. Step 3: Cross multiply
    21,351x = 31,474.50 × 31,474.50
  4. Step 4: Simplify right side
    21,351x = 990,644,150.25
  5. Step 5: Solve for x
    x = 990,644,150.25/21,351
  6. Step 6: Final answer
    x = 46,398.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.