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Finding the Third Proportional to 6,582 and 14,809

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Solution

The third proportional to 6,582 and 14,809 is: 33,319.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582 : 14,809 = 14,809 : x
  2. Step 2: Convert to fraction form
    6,582/14,809 = 14,809/x
  3. Step 3: Cross multiply
    6,582x = 14,809 × 14,809
  4. Step 4: Simplify right side
    6,582x = 219,306,481
  5. Step 5: Solve for x
    x = 219,306,481/6,582
  6. Step 6: Final answer
    x = 33,319.13

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.