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Finding the Third Proportional to 6,480 and 14,271

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Solution

The third proportional to 6,480 and 14,271 is: 31,429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480 : 14,271 = 14,271 : x
  2. Step 2: Convert to fraction form
    6,480/14,271 = 14,271/x
  3. Step 3: Cross multiply
    6,480x = 14,271 × 14,271
  4. Step 4: Simplify right side
    6,480x = 203,661,441
  5. Step 5: Solve for x
    x = 203,661,441/6,480
  6. Step 6: Final answer
    x = 31,429.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.