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Finding the Third Proportional to 13,185 and 28,548

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Solution

The third proportional to 13,185 and 28,548 is: 61,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,185 : 28,548 = 28,548 : x
  2. Step 2: Convert to fraction form
    13,185/28,548 = 28,548/x
  3. Step 3: Cross multiply
    13,185x = 28,548 × 28,548
  4. Step 4: Simplify right side
    13,185x = 814,988,304
  5. Step 5: Solve for x
    x = 814,988,304/13,185
  6. Step 6: Final answer
    x = 61,811.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.