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Finding the Third Proportional to 15,314 and 21,937

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Solution

The third proportional to 15,314 and 21,937 is: 31,424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,314 : 21,937 = 21,937 : x
  2. Step 2: Convert to fraction form
    15,314/21,937 = 21,937/x
  3. Step 3: Cross multiply
    15,314x = 21,937 × 21,937
  4. Step 4: Simplify right side
    15,314x = 481,231,969
  5. Step 5: Solve for x
    x = 481,231,969/15,314
  6. Step 6: Final answer
    x = 31,424.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.