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Finding the Third Proportional to 4,510.69 and 7,204.57

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Solution

The third proportional to 4,510.69 and 7,204.57 is: 11,507.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510.69 : 7,204.57 = 7,204.57 : x
  2. Step 2: Convert to fraction form
    4,510.69/7,204.57 = 7,204.57/x
  3. Step 3: Cross multiply
    4,510.69x = 7,204.57 × 7,204.57
  4. Step 4: Simplify right side
    4,510.69x = 51,905,833.39
  5. Step 5: Solve for x
    x = 51,905,833.39/4,510.69
  6. Step 6: Final answer
    x = 11,507.30

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.