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Finding the Third Proportional to 14,563 and 30,860

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Solution

The third proportional to 14,563 and 30,860 is: 65,394.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563 : 30,860 = 30,860 : x
  2. Step 2: Convert to fraction form
    14,563/30,860 = 30,860/x
  3. Step 3: Cross multiply
    14,563x = 30,860 × 30,860
  4. Step 4: Simplify right side
    14,563x = 952,339,600
  5. Step 5: Solve for x
    x = 952,339,600/14,563
  6. Step 6: Final answer
    x = 65,394.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.