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Finding the Third Proportional to 16,984 and 36,416

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Solution

The third proportional to 16,984 and 36,416 is: 78,080.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,984 : 36,416 = 36,416 : x
  2. Step 2: Convert to fraction form
    16,984/36,416 = 36,416/x
  3. Step 3: Cross multiply
    16,984x = 36,416 × 36,416
  4. Step 4: Simplify right side
    16,984x = 1,326,125,056
  5. Step 5: Solve for x
    x = 1,326,125,056/16,984
  6. Step 6: Final answer
    x = 78,080.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.