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Finding the Third Proportional to 9,094.13 and 13,674.94

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Solution

The third proportional to 9,094.13 and 13,674.94 is: 20,563.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.13 : 13,674.94 = 13,674.94 : x
  2. Step 2: Convert to fraction form
    9,094.13/13,674.94 = 13,674.94/x
  3. Step 3: Cross multiply
    9,094.13x = 13,674.94 × 13,674.94
  4. Step 4: Simplify right side
    9,094.13x = 187,003,915.63
  5. Step 5: Solve for x
    x = 187,003,915.63/9,094.13
  6. Step 6: Final answer
    x = 20,563.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.