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Finding the Third Proportional to 13,275 and 19,082.25

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Solution

The third proportional to 13,275 and 19,082.25 is: 27,429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,275 : 19,082.25 = 19,082.25 : x
  2. Step 2: Convert to fraction form
    13,275/19,082.25 = 19,082.25/x
  3. Step 3: Cross multiply
    13,275x = 19,082.25 × 19,082.25
  4. Step 4: Simplify right side
    13,275x = 364,132,265.06
  5. Step 5: Solve for x
    x = 364,132,265.06/13,275
  6. Step 6: Final answer
    x = 27,429.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.