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Finding the Third Proportional to 28,417 and 44,578

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Solution

The third proportional to 28,417 and 44,578 is: 69,929.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,417 : 44,578 = 44,578 : x
  2. Step 2: Convert to fraction form
    28,417/44,578 = 44,578/x
  3. Step 3: Cross multiply
    28,417x = 44,578 × 44,578
  4. Step 4: Simplify right side
    28,417x = 1,987,198,084
  5. Step 5: Solve for x
    x = 1,987,198,084/28,417
  6. Step 6: Final answer
    x = 69,929.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.