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Finding the Third Proportional to 14,398 and 31,462

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Solution

The third proportional to 14,398 and 31,462 is: 68,749.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,398 : 31,462 = 31,462 : x
  2. Step 2: Convert to fraction form
    14,398/31,462 = 31,462/x
  3. Step 3: Cross multiply
    14,398x = 31,462 × 31,462
  4. Step 4: Simplify right side
    14,398x = 989,857,444
  5. Step 5: Solve for x
    x = 989,857,444/14,398
  6. Step 6: Final answer
    x = 68,749.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.