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Finding the Third Proportional to 12,586 and 30,277

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Solution

The third proportional to 12,586 and 30,277 is: 72,834.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586 : 30,277 = 30,277 : x
  2. Step 2: Convert to fraction form
    12,586/30,277 = 30,277/x
  3. Step 3: Cross multiply
    12,586x = 30,277 × 30,277
  4. Step 4: Simplify right side
    12,586x = 916,696,729
  5. Step 5: Solve for x
    x = 916,696,729/12,586
  6. Step 6: Final answer
    x = 72,834.64

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.