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Finding the Third Proportional to 14,114 and 32,814

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Solution

The third proportional to 14,114 and 32,814 is: 76,290.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114 : 32,814 = 32,814 : x
  2. Step 2: Convert to fraction form
    14,114/32,814 = 32,814/x
  3. Step 3: Cross multiply
    14,114x = 32,814 × 32,814
  4. Step 4: Simplify right side
    14,114x = 1,076,758,596
  5. Step 5: Solve for x
    x = 1,076,758,596/14,114
  6. Step 6: Final answer
    x = 76,290.11

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.