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Finding the Third Proportional to 15,048 and 23,380

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Solution

The third proportional to 15,048 and 23,380 is: 36,325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,048 : 23,380 = 23,380 : x
  2. Step 2: Convert to fraction form
    15,048/23,380 = 23,380/x
  3. Step 3: Cross multiply
    15,048x = 23,380 × 23,380
  4. Step 4: Simplify right side
    15,048x = 546,624,400
  5. Step 5: Solve for x
    x = 546,624,400/15,048
  6. Step 6: Final answer
    x = 36,325.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.