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Finding the Third Proportional to 4,566 and 7,302

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Solution

The third proportional to 4,566 and 7,302 is: 11,677.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566 : 7,302 = 7,302 : x
  2. Step 2: Convert to fraction form
    4,566/7,302 = 7,302/x
  3. Step 3: Cross multiply
    4,566x = 7,302 × 7,302
  4. Step 4: Simplify right side
    4,566x = 53,319,204
  5. Step 5: Solve for x
    x = 53,319,204/4,566
  6. Step 6: Final answer
    x = 11,677.44

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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.