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Finding the Third Proportional to 14,138 and 30,712

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Solution

The third proportional to 14,138 and 30,712 is: 66,715.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138 : 30,712 = 30,712 : x
  2. Step 2: Convert to fraction form
    14,138/30,712 = 30,712/x
  3. Step 3: Cross multiply
    14,138x = 30,712 × 30,712
  4. Step 4: Simplify right side
    14,138x = 943,226,944
  5. Step 5: Solve for x
    x = 943,226,944/14,138
  6. Step 6: Final answer
    x = 66,715.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.