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Finding the Third Proportional to 6,260.25 and 8,432.25

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Solution

The third proportional to 6,260.25 and 8,432.25 is: 11,357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,260.25 : 8,432.25 = 8,432.25 : x
  2. Step 2: Convert to fraction form
    6,260.25/8,432.25 = 8,432.25/x
  3. Step 3: Cross multiply
    6,260.25x = 8,432.25 × 8,432.25
  4. Step 4: Simplify right side
    6,260.25x = 71,102,840.06
  5. Step 5: Solve for x
    x = 71,102,840.06/6,260.25
  6. Step 6: Final answer
    x = 11,357.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.