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Finding the Third Proportional to 9,813 and 13,275

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Solution

The third proportional to 9,813 and 13,275 is: 17,958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813 : 13,275 = 13,275 : x
  2. Step 2: Convert to fraction form
    9,813/13,275 = 13,275/x
  3. Step 3: Cross multiply
    9,813x = 13,275 × 13,275
  4. Step 4: Simplify right side
    9,813x = 176,225,625
  5. Step 5: Solve for x
    x = 176,225,625/9,813
  6. Step 6: Final answer
    x = 17,958.38

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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.