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Finding the Third Proportional to 14,236 and 30,577

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Solution

The third proportional to 14,236 and 30,577 is: 65,675.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,236 : 30,577 = 30,577 : x
  2. Step 2: Convert to fraction form
    14,236/30,577 = 30,577/x
  3. Step 3: Cross multiply
    14,236x = 30,577 × 30,577
  4. Step 4: Simplify right side
    14,236x = 934,952,929
  5. Step 5: Solve for x
    x = 934,952,929/14,236
  6. Step 6: Final answer
    x = 65,675.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.