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Finding the Third Proportional to 4,605.75 and 7,204.88

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Solution

The third proportional to 4,605.75 and 7,204.88 is: 11,270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.75 : 7,204.88 = 7,204.88 : x
  2. Step 2: Convert to fraction form
    4,605.75/7,204.88 = 7,204.88/x
  3. Step 3: Cross multiply
    4,605.75x = 7,204.88 × 7,204.88
  4. Step 4: Simplify right side
    4,605.75x = 51,910,223.77
  5. Step 5: Solve for x
    x = 51,910,223.77/4,605.75
  6. Step 6: Final answer
    x = 11,270.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.