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Finding the Third Proportional to 9,131.63 and 12,374.44

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Solution

The third proportional to 9,131.63 and 12,374.44 is: 16,768.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.63 : 12,374.44 = 12,374.44 : x
  2. Step 2: Convert to fraction form
    9,131.63/12,374.44 = 12,374.44/x
  3. Step 3: Cross multiply
    9,131.63x = 12,374.44 × 12,374.44
  4. Step 4: Simplify right side
    9,131.63x = 153,126,703.44
  5. Step 5: Solve for x
    x = 153,126,703.44/9,131.63
  6. Step 6: Final answer
    x = 16,768.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.