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Finding the Third Proportional to 6,502 and 14,180

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Solution

The third proportional to 6,502 and 14,180 is: 30,924.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502 : 14,180 = 14,180 : x
  2. Step 2: Convert to fraction form
    6,502/14,180 = 14,180/x
  3. Step 3: Cross multiply
    6,502x = 14,180 × 14,180
  4. Step 4: Simplify right side
    6,502x = 201,072,400
  5. Step 5: Solve for x
    x = 201,072,400/6,502
  6. Step 6: Final answer
    x = 30,924.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.