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Finding the Third Proportional to 10,542 and 23,417

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Solution

The third proportional to 10,542 and 23,417 is: 52,016.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542 : 23,417 = 23,417 : x
  2. Step 2: Convert to fraction form
    10,542/23,417 = 23,417/x
  3. Step 3: Cross multiply
    10,542x = 23,417 × 23,417
  4. Step 4: Simplify right side
    10,542x = 548,355,889
  5. Step 5: Solve for x
    x = 548,355,889/10,542
  6. Step 6: Final answer
    x = 52,016.31

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.