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Finding the Third Proportional to 10,315.69 and 13,933.69

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Solution

The third proportional to 10,315.69 and 13,933.69 is: 18,820.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.69 : 13,933.69 = 13,933.69 : x
  2. Step 2: Convert to fraction form
    10,315.69/13,933.69 = 13,933.69/x
  3. Step 3: Cross multiply
    10,315.69x = 13,933.69 × 13,933.69
  4. Step 4: Simplify right side
    10,315.69x = 194,147,647.35
  5. Step 5: Solve for x
    x = 194,147,647.35/10,315.69
  6. Step 6: Final answer
    x = 18,820.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.