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Finding the Third Proportional to 7,035 and 15,105

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Solution

The third proportional to 7,035 and 15,105 is: 32,432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035 : 15,105 = 15,105 : x
  2. Step 2: Convert to fraction form
    7,035/15,105 = 15,105/x
  3. Step 3: Cross multiply
    7,035x = 15,105 × 15,105
  4. Step 4: Simplify right side
    7,035x = 228,161,025
  5. Step 5: Solve for x
    x = 228,161,025/7,035
  6. Step 6: Final answer
    x = 32,432.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.