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Finding the Third Proportional to 14,366 and 31,114

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Solution

The third proportional to 14,366 and 31,114 is: 67,386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,366 : 31,114 = 31,114 : x
  2. Step 2: Convert to fraction form
    14,366/31,114 = 31,114/x
  3. Step 3: Cross multiply
    14,366x = 31,114 × 31,114
  4. Step 4: Simplify right side
    14,366x = 968,080,996
  5. Step 5: Solve for x
    x = 968,080,996/14,366
  6. Step 6: Final answer
    x = 67,386.96

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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.