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Finding the Third Proportional to 6,565 and 14,011

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Solution

The third proportional to 6,565 and 14,011 is: 29,902.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565 : 14,011 = 14,011 : x
  2. Step 2: Convert to fraction form
    6,565/14,011 = 14,011/x
  3. Step 3: Cross multiply
    6,565x = 14,011 × 14,011
  4. Step 4: Simplify right side
    6,565x = 196,308,121
  5. Step 5: Solve for x
    x = 196,308,121/6,565
  6. Step 6: Final answer
    x = 29,902.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.