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Finding the Third Proportional to 13,114 and 14,518

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Solution

The third proportional to 13,114 and 14,518 is: 16,072.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114 : 14,518 = 14,518 : x
  2. Step 2: Convert to fraction form
    13,114/14,518 = 14,518/x
  3. Step 3: Cross multiply
    13,114x = 14,518 × 14,518
  4. Step 4: Simplify right side
    13,114x = 210,772,324
  5. Step 5: Solve for x
    x = 210,772,324/13,114
  6. Step 6: Final answer
    x = 16,072.31

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.