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Finding the Third Proportional to 6,034.50 and 12,645.84

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Solution

The third proportional to 6,034.50 and 12,645.84 is: 26,500.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.50 : 12,645.84 = 12,645.84 : x
  2. Step 2: Convert to fraction form
    6,034.50/12,645.84 = 12,645.84/x
  3. Step 3: Cross multiply
    6,034.50x = 12,645.84 × 12,645.84
  4. Step 4: Simplify right side
    6,034.50x = 159,917,364.15
  5. Step 5: Solve for x
    x = 159,917,364.15/6,034.50
  6. Step 6: Final answer
    x = 26,500.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.