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Finding the Third Proportional to 8,732 and 9,548

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Solution

The third proportional to 8,732 and 9,548 is: 10,440.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,732 : 9,548 = 9,548 : x
  2. Step 2: Convert to fraction form
    8,732/9,548 = 9,548/x
  3. Step 3: Cross multiply
    8,732x = 9,548 × 9,548
  4. Step 4: Simplify right side
    8,732x = 91,164,304
  5. Step 5: Solve for x
    x = 91,164,304/8,732
  6. Step 6: Final answer
    x = 10,440.25

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.