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Finding the Third Proportional to 13,461 and 18,863

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Solution

The third proportional to 13,461 and 18,863 is: 26,432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461 : 18,863 = 18,863 : x
  2. Step 2: Convert to fraction form
    13,461/18,863 = 18,863/x
  3. Step 3: Cross multiply
    13,461x = 18,863 × 18,863
  4. Step 4: Simplify right side
    13,461x = 355,812,769
  5. Step 5: Solve for x
    x = 355,812,769/13,461
  6. Step 6: Final answer
    x = 26,432.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.