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Finding the Third Proportional to 9,807 and 11,271

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Solution

The third proportional to 9,807 and 11,271 is: 12,953.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807 : 11,271 = 11,271 : x
  2. Step 2: Convert to fraction form
    9,807/11,271 = 11,271/x
  3. Step 3: Cross multiply
    9,807x = 11,271 × 11,271
  4. Step 4: Simplify right side
    9,807x = 127,035,441
  5. Step 5: Solve for x
    x = 127,035,441/9,807
  6. Step 6: Final answer
    x = 12,953.55

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.