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Finding the Third Proportional to 21,702 and 47,007

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Solution

The third proportional to 21,702 and 47,007 is: 101,818.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702 : 47,007 = 47,007 : x
  2. Step 2: Convert to fraction form
    21,702/47,007 = 47,007/x
  3. Step 3: Cross multiply
    21,702x = 47,007 × 47,007
  4. Step 4: Simplify right side
    21,702x = 2,209,658,049
  5. Step 5: Solve for x
    x = 2,209,658,049/21,702
  6. Step 6: Final answer
    x = 101,818.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.