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Finding the Third Proportional to 14,736 and 22,818

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Solution

The third proportional to 14,736 and 22,818 is: 35,332.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,736 : 22,818 = 22,818 : x
  2. Step 2: Convert to fraction form
    14,736/22,818 = 22,818/x
  3. Step 3: Cross multiply
    14,736x = 22,818 × 22,818
  4. Step 4: Simplify right side
    14,736x = 520,661,124
  5. Step 5: Solve for x
    x = 520,661,124/14,736
  6. Step 6: Final answer
    x = 35,332.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.