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Finding the Third Proportional to 14,863 and 23,087

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Solution

The third proportional to 14,863 and 23,087 is: 35,861.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,863 : 23,087 = 23,087 : x
  2. Step 2: Convert to fraction form
    14,863/23,087 = 23,087/x
  3. Step 3: Cross multiply
    14,863x = 23,087 × 23,087
  4. Step 4: Simplify right side
    14,863x = 533,009,569
  5. Step 5: Solve for x
    x = 533,009,569/14,863
  6. Step 6: Final answer
    x = 35,861.51

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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.