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Finding the Third Proportional to 14,955 and 20,319

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Solution

The third proportional to 14,955 and 20,319 is: 27,606.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,955 : 20,319 = 20,319 : x
  2. Step 2: Convert to fraction form
    14,955/20,319 = 20,319/x
  3. Step 3: Cross multiply
    14,955x = 20,319 × 20,319
  4. Step 4: Simplify right side
    14,955x = 412,861,761
  5. Step 5: Solve for x
    x = 412,861,761/14,955
  6. Step 6: Final answer
    x = 27,606.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.