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Finding the Third Proportional to 14,855 and 32,273

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Solution

The third proportional to 14,855 and 32,273 is: 70,114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,855 : 32,273 = 32,273 : x
  2. Step 2: Convert to fraction form
    14,855/32,273 = 32,273/x
  3. Step 3: Cross multiply
    14,855x = 32,273 × 32,273
  4. Step 4: Simplify right side
    14,855x = 1,041,546,529
  5. Step 5: Solve for x
    x = 1,041,546,529/14,855
  6. Step 6: Final answer
    x = 70,114.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.