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Finding the Third Proportional to 7,600 and 11,369.63

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Solution

The third proportional to 7,600 and 11,369.63 is: 17,009.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600 : 11,369.63 = 11,369.63 : x
  2. Step 2: Convert to fraction form
    7,600/11,369.63 = 11,369.63/x
  3. Step 3: Cross multiply
    7,600x = 11,369.63 × 11,369.63
  4. Step 4: Simplify right side
    7,600x = 129,268,372.64
  5. Step 5: Solve for x
    x = 129,268,372.64/7,600
  6. Step 6: Final answer
    x = 17,009.00

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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.