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Finding the Third Proportional to 7,905 and 17,035

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Solution

The third proportional to 7,905 and 17,035 is: 36,709.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,905 : 17,035 = 17,035 : x
  2. Step 2: Convert to fraction form
    7,905/17,035 = 17,035/x
  3. Step 3: Cross multiply
    7,905x = 17,035 × 17,035
  4. Step 4: Simplify right side
    7,905x = 290,191,225
  5. Step 5: Solve for x
    x = 290,191,225/7,905
  6. Step 6: Final answer
    x = 36,709.83

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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.