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Finding the Third Proportional to 5,798.25 and 8,751.09

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Solution

The third proportional to 5,798.25 and 8,751.09 is: 13,207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.25 : 8,751.09 = 8,751.09 : x
  2. Step 2: Convert to fraction form
    5,798.25/8,751.09 = 8,751.09/x
  3. Step 3: Cross multiply
    5,798.25x = 8,751.09 × 8,751.09
  4. Step 4: Simplify right side
    5,798.25x = 76,581,641.82
  5. Step 5: Solve for x
    x = 76,581,641.82/5,798.25
  6. Step 6: Final answer
    x = 13,207.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.