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Finding the Third Proportional to 14,120 and 18,574

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Solution

The third proportional to 14,120 and 18,574 is: 24,432.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,120 : 18,574 = 18,574 : x
  2. Step 2: Convert to fraction form
    14,120/18,574 = 18,574/x
  3. Step 3: Cross multiply
    14,120x = 18,574 × 18,574
  4. Step 4: Simplify right side
    14,120x = 344,993,476
  5. Step 5: Solve for x
    x = 344,993,476/14,120
  6. Step 6: Final answer
    x = 24,432.97

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.