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Finding the Third Proportional to 4,592 and 9,265

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Solution

The third proportional to 4,592 and 9,265 is: 18,693.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,592 : 9,265 = 9,265 : x
  2. Step 2: Convert to fraction form
    4,592/9,265 = 9,265/x
  3. Step 3: Cross multiply
    4,592x = 9,265 × 9,265
  4. Step 4: Simplify right side
    4,592x = 85,840,225
  5. Step 5: Solve for x
    x = 85,840,225/4,592
  6. Step 6: Final answer
    x = 18,693.43

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.