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Finding the Third Proportional to 16,669 and 23,443

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Solution

The third proportional to 16,669 and 23,443 is: 32,969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,669 : 23,443 = 23,443 : x
  2. Step 2: Convert to fraction form
    16,669/23,443 = 23,443/x
  3. Step 3: Cross multiply
    16,669x = 23,443 × 23,443
  4. Step 4: Simplify right side
    16,669x = 549,574,249
  5. Step 5: Solve for x
    x = 549,574,249/16,669
  6. Step 6: Final answer
    x = 32,969.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.