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Finding the Third Proportional to 9,271 and 13,576

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Solution

The third proportional to 9,271 and 13,576 is: 19,880.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271 : 13,576 = 13,576 : x
  2. Step 2: Convert to fraction form
    9,271/13,576 = 13,576/x
  3. Step 3: Cross multiply
    9,271x = 13,576 × 13,576
  4. Step 4: Simplify right side
    9,271x = 184,307,776
  5. Step 5: Solve for x
    x = 184,307,776/9,271
  6. Step 6: Final answer
    x = 19,880.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.