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Finding the Third Proportional to 7,682.63 and 16,580.25

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Solution

The third proportional to 7,682.63 and 16,580.25 is: 35,782.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.63 : 16,580.25 = 16,580.25 : x
  2. Step 2: Convert to fraction form
    7,682.63/16,580.25 = 16,580.25/x
  3. Step 3: Cross multiply
    7,682.63x = 16,580.25 × 16,580.25
  4. Step 4: Simplify right side
    7,682.63x = 274,904,690.06
  5. Step 5: Solve for x
    x = 274,904,690.06/7,682.63
  6. Step 6: Final answer
    x = 35,782.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.