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Finding the Third Proportional to 14,714 and 31,480

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Solution

The third proportional to 14,714 and 31,480 is: 67,350.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714 : 31,480 = 31,480 : x
  2. Step 2: Convert to fraction form
    14,714/31,480 = 31,480/x
  3. Step 3: Cross multiply
    14,714x = 31,480 × 31,480
  4. Step 4: Simplify right side
    14,714x = 990,990,400
  5. Step 5: Solve for x
    x = 990,990,400/14,714
  6. Step 6: Final answer
    x = 67,350.17

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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.