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Finding the Third Proportional to 14,928 and 31,696

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Solution

The third proportional to 14,928 and 31,696 is: 67,298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,928 : 31,696 = 31,696 : x
  2. Step 2: Convert to fraction form
    14,928/31,696 = 31,696/x
  3. Step 3: Cross multiply
    14,928x = 31,696 × 31,696
  4. Step 4: Simplify right side
    14,928x = 1,004,636,416
  5. Step 5: Solve for x
    x = 1,004,636,416/14,928
  6. Step 6: Final answer
    x = 67,298.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.