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Finding the Third Proportional to 15,284 and 31,519

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Solution

The third proportional to 15,284 and 31,519 is: 64,999.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,284 : 31,519 = 31,519 : x
  2. Step 2: Convert to fraction form
    15,284/31,519 = 31,519/x
  3. Step 3: Cross multiply
    15,284x = 31,519 × 31,519
  4. Step 4: Simplify right side
    15,284x = 993,447,361
  5. Step 5: Solve for x
    x = 993,447,361/15,284
  6. Step 6: Final answer
    x = 64,999.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.