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Finding the Third Proportional to 15,138 and 23,411

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Solution

The third proportional to 15,138 and 23,411 is: 36,205.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138 : 23,411 = 23,411 : x
  2. Step 2: Convert to fraction form
    15,138/23,411 = 23,411/x
  3. Step 3: Cross multiply
    15,138x = 23,411 × 23,411
  4. Step 4: Simplify right side
    15,138x = 548,074,921
  5. Step 5: Solve for x
    x = 548,074,921/15,138
  6. Step 6: Final answer
    x = 36,205.24

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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.