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Finding the Third Proportional to 6,502 and 14,396

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Solution

The third proportional to 6,502 and 14,396 is: 31,874.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502 : 14,396 = 14,396 : x
  2. Step 2: Convert to fraction form
    6,502/14,396 = 14,396/x
  3. Step 3: Cross multiply
    6,502x = 14,396 × 14,396
  4. Step 4: Simplify right side
    6,502x = 207,244,816
  5. Step 5: Solve for x
    x = 207,244,816/6,502
  6. Step 6: Final answer
    x = 31,874.01

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.