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Finding the Third Proportional to 6,553 and 14,321

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Solution

The third proportional to 6,553 and 14,321 is: 31,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553 : 14,321 = 14,321 : x
  2. Step 2: Convert to fraction form
    6,553/14,321 = 14,321/x
  3. Step 3: Cross multiply
    6,553x = 14,321 × 14,321
  4. Step 4: Simplify right side
    6,553x = 205,091,041
  5. Step 5: Solve for x
    x = 205,091,041/6,553
  6. Step 6: Final answer
    x = 31,297.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.