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Finding the Third Proportional to 14,414 and 31,492

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Solution

The third proportional to 14,414 and 31,492 is: 68,804.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414 : 31,492 = 31,492 : x
  2. Step 2: Convert to fraction form
    14,414/31,492 = 31,492/x
  3. Step 3: Cross multiply
    14,414x = 31,492 × 31,492
  4. Step 4: Simplify right side
    14,414x = 991,746,064
  5. Step 5: Solve for x
    x = 991,746,064/14,414
  6. Step 6: Final answer
    x = 68,804.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.