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Finding the Third Proportional to 15,328 and 28,468

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Solution

The third proportional to 15,328 and 28,468 is: 52,872.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,328 : 28,468 = 28,468 : x
  2. Step 2: Convert to fraction form
    15,328/28,468 = 28,468/x
  3. Step 3: Cross multiply
    15,328x = 28,468 × 28,468
  4. Step 4: Simplify right side
    15,328x = 810,427,024
  5. Step 5: Solve for x
    x = 810,427,024/15,328
  6. Step 6: Final answer
    x = 52,872.33

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.