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Finding the Third Proportional to 25,364 and 30,548

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Solution

The third proportional to 25,364 and 30,548 is: 36,791.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,364 : 30,548 = 30,548 : x
  2. Step 2: Convert to fraction form
    25,364/30,548 = 30,548/x
  3. Step 3: Cross multiply
    25,364x = 30,548 × 30,548
  4. Step 4: Simplify right side
    25,364x = 933,180,304
  5. Step 5: Solve for x
    x = 933,180,304/25,364
  6. Step 6: Final answer
    x = 36,791.53

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.