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Finding the Third Proportional to 15,138 and 17,928

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Solution

The third proportional to 15,138 and 17,928 is: 21,232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138 : 17,928 = 17,928 : x
  2. Step 2: Convert to fraction form
    15,138/17,928 = 17,928/x
  3. Step 3: Cross multiply
    15,138x = 17,928 × 17,928
  4. Step 4: Simplify right side
    15,138x = 321,413,184
  5. Step 5: Solve for x
    x = 321,413,184/15,138
  6. Step 6: Final answer
    x = 21,232.21

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.