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Finding the Third Proportional to 7,452 and 18,515

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Solution

The third proportional to 7,452 and 18,515 is: 46,001.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452 : 18,515 = 18,515 : x
  2. Step 2: Convert to fraction form
    7,452/18,515 = 18,515/x
  3. Step 3: Cross multiply
    7,452x = 18,515 × 18,515
  4. Step 4: Simplify right side
    7,452x = 342,805,225
  5. Step 5: Solve for x
    x = 342,805,225/7,452
  6. Step 6: Final answer
    x = 46,001.77

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.