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Finding the Third Proportional to 7,138 and 13,548

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Solution

The third proportional to 7,138 and 13,548 is: 25,714.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138 : 13,548 = 13,548 : x
  2. Step 2: Convert to fraction form
    7,138/13,548 = 13,548/x
  3. Step 3: Cross multiply
    7,138x = 13,548 × 13,548
  4. Step 4: Simplify right side
    7,138x = 183,548,304
  5. Step 5: Solve for x
    x = 183,548,304/7,138
  6. Step 6: Final answer
    x = 25,714.25

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.