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Finding the Third Proportional to 4,608.56 and 7,405.59

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Solution

The third proportional to 4,608.56 and 7,405.59 is: 11,900.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.56 : 7,405.59 = 7,405.59 : x
  2. Step 2: Convert to fraction form
    4,608.56/7,405.59 = 7,405.59/x
  3. Step 3: Cross multiply
    4,608.56x = 7,405.59 × 7,405.59
  4. Step 4: Simplify right side
    4,608.56x = 54,842,818.79
  5. Step 5: Solve for x
    x = 54,842,818.79/4,608.56
  6. Step 6: Final answer
    x = 11,900.20

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.