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Finding the Third Proportional to 9,051.75 and 16,977.09

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Solution

The third proportional to 9,051.75 and 16,977.09 is: 31,841.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,051.75 : 16,977.09 = 16,977.09 : x
  2. Step 2: Convert to fraction form
    9,051.75/16,977.09 = 16,977.09/x
  3. Step 3: Cross multiply
    9,051.75x = 16,977.09 × 16,977.09
  4. Step 4: Simplify right side
    9,051.75x = 288,221,712.20
  5. Step 5: Solve for x
    x = 288,221,712.20/9,051.75
  6. Step 6: Final answer
    x = 31,841.55

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.