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Finding the Third Proportional to 15,100 and 23,468

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Solution

The third proportional to 15,100 and 23,468 is: 36,473.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,100 : 23,468 = 23,468 : x
  2. Step 2: Convert to fraction form
    15,100/23,468 = 23,468/x
  3. Step 3: Cross multiply
    15,100x = 23,468 × 23,468
  4. Step 4: Simplify right side
    15,100x = 550,747,024
  5. Step 5: Solve for x
    x = 550,747,024/15,100
  6. Step 6: Final answer
    x = 36,473.31

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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.