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Finding the Third Proportional to 9,315.75 and 13,847

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Solution

The third proportional to 9,315.75 and 13,847 is: 20,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.75 : 13,847 = 13,847 : x
  2. Step 2: Convert to fraction form
    9,315.75/13,847 = 13,847/x
  3. Step 3: Cross multiply
    9,315.75x = 13,847 × 13,847
  4. Step 4: Simplify right side
    9,315.75x = 191,739,409
  5. Step 5: Solve for x
    x = 191,739,409/9,315.75
  6. Step 6: Final answer
    x = 20,582.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.