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Finding the Third Proportional to 16,742.25 and 36,977.63

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Solution

The third proportional to 16,742.25 and 36,977.63 is: 81,670.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,742.25 : 36,977.63 = 36,977.63 : x
  2. Step 2: Convert to fraction form
    16,742.25/36,977.63 = 36,977.63/x
  3. Step 3: Cross multiply
    16,742.25x = 36,977.63 × 36,977.63
  4. Step 4: Simplify right side
    16,742.25x = 1,367,344,750.64
  5. Step 5: Solve for x
    x = 1,367,344,750.64/16,742.25
  6. Step 6: Final answer
    x = 81,670.31

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.