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Finding the Third Proportional to 21,720 and 47,004

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Solution

The third proportional to 21,720 and 47,004 is: 101,720.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,720 : 47,004 = 47,004 : x
  2. Step 2: Convert to fraction form
    21,720/47,004 = 47,004/x
  3. Step 3: Cross multiply
    21,720x = 47,004 × 47,004
  4. Step 4: Simplify right side
    21,720x = 2,209,376,016
  5. Step 5: Solve for x
    x = 2,209,376,016/21,720
  6. Step 6: Final answer
    x = 101,720.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.