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Finding the Third Proportional to 14,207 and 31,519

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Solution

The third proportional to 14,207 and 31,519 is: 69,926.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,207 : 31,519 = 31,519 : x
  2. Step 2: Convert to fraction form
    14,207/31,519 = 31,519/x
  3. Step 3: Cross multiply
    14,207x = 31,519 × 31,519
  4. Step 4: Simplify right side
    14,207x = 993,447,361
  5. Step 5: Solve for x
    x = 993,447,361/14,207
  6. Step 6: Final answer
    x = 69,926.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.