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Finding the Third Proportional to 4,713 and 7,328.25

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Solution

The third proportional to 4,713 and 7,328.25 is: 11,394.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713 : 7,328.25 = 7,328.25 : x
  2. Step 2: Convert to fraction form
    4,713/7,328.25 = 7,328.25/x
  3. Step 3: Cross multiply
    4,713x = 7,328.25 × 7,328.25
  4. Step 4: Simplify right side
    4,713x = 53,703,248.06
  5. Step 5: Solve for x
    x = 53,703,248.06/4,713
  6. Step 6: Final answer
    x = 11,394.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.