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Finding the Third Proportional to 4,965 and 10,065

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Solution

The third proportional to 4,965 and 10,065 is: 20,403.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965 : 10,065 = 10,065 : x
  2. Step 2: Convert to fraction form
    4,965/10,065 = 10,065/x
  3. Step 3: Cross multiply
    4,965x = 10,065 × 10,065
  4. Step 4: Simplify right side
    4,965x = 101,304,225
  5. Step 5: Solve for x
    x = 101,304,225/4,965
  6. Step 6: Final answer
    x = 20,403.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.