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Finding the Third Proportional to 16,969 and 24,445

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Solution

The third proportional to 16,969 and 24,445 is: 35,214.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,969 : 24,445 = 24,445 : x
  2. Step 2: Convert to fraction form
    16,969/24,445 = 24,445/x
  3. Step 3: Cross multiply
    16,969x = 24,445 × 24,445
  4. Step 4: Simplify right side
    16,969x = 597,558,025
  5. Step 5: Solve for x
    x = 597,558,025/16,969
  6. Step 6: Final answer
    x = 35,214.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.