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Finding the Third Proportional to 14,134 and 20,714

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Solution

The third proportional to 14,134 and 20,714 is: 30,357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134 : 20,714 = 20,714 : x
  2. Step 2: Convert to fraction form
    14,134/20,714 = 20,714/x
  3. Step 3: Cross multiply
    14,134x = 20,714 × 20,714
  4. Step 4: Simplify right side
    14,134x = 429,069,796
  5. Step 5: Solve for x
    x = 429,069,796/14,134
  6. Step 6: Final answer
    x = 30,357.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.