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Finding the Third Proportional to 6,535 and 14,245

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Solution

The third proportional to 6,535 and 14,245 is: 31,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535 : 14,245 = 14,245 : x
  2. Step 2: Convert to fraction form
    6,535/14,245 = 14,245/x
  3. Step 3: Cross multiply
    6,535x = 14,245 × 14,245
  4. Step 4: Simplify right side
    6,535x = 202,920,025
  5. Step 5: Solve for x
    x = 202,920,025/6,535
  6. Step 6: Final answer
    x = 31,051.27

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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.