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Finding the Third Proportional to 14,561 and 31,199

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Solution

The third proportional to 14,561 and 31,199 is: 66,848.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561 : 31,199 = 31,199 : x
  2. Step 2: Convert to fraction form
    14,561/31,199 = 31,199/x
  3. Step 3: Cross multiply
    14,561x = 31,199 × 31,199
  4. Step 4: Simplify right side
    14,561x = 973,377,601
  5. Step 5: Solve for x
    x = 973,377,601/14,561
  6. Step 6: Final answer
    x = 66,848.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.