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Finding the Third Proportional to 7,529.20 and 11,447.58

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Solution

The third proportional to 7,529.20 and 11,447.58 is: 17,405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,529.20 : 11,447.58 = 11,447.58 : x
  2. Step 2: Convert to fraction form
    7,529.20/11,447.58 = 11,447.58/x
  3. Step 3: Cross multiply
    7,529.20x = 11,447.58 × 11,447.58
  4. Step 4: Simplify right side
    7,529.20x = 131,047,044.93
  5. Step 5: Solve for x
    x = 131,047,044.93/7,529.20
  6. Step 6: Final answer
    x = 17,405.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.