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Finding the Third Proportional to 14,459 and 31,563

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Solution

The third proportional to 14,459 and 31,563 is: 68,899.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,459 : 31,563 = 31,563 : x
  2. Step 2: Convert to fraction form
    14,459/31,563 = 31,563/x
  3. Step 3: Cross multiply
    14,459x = 31,563 × 31,563
  4. Step 4: Simplify right side
    14,459x = 996,222,969
  5. Step 5: Solve for x
    x = 996,222,969/14,459
  6. Step 6: Final answer
    x = 68,899.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.