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Finding the Third Proportional to 14,922 and 20,316

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Solution

The third proportional to 14,922 and 20,316 is: 27,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,922 : 20,316 = 20,316 : x
  2. Step 2: Convert to fraction form
    14,922/20,316 = 20,316/x
  3. Step 3: Cross multiply
    14,922x = 20,316 × 20,316
  4. Step 4: Simplify right side
    14,922x = 412,739,856
  5. Step 5: Solve for x
    x = 412,739,856/14,922
  6. Step 6: Final answer
    x = 27,659.82

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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.