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Finding the Third Proportional to 21,901 and 47,501

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Solution

The third proportional to 21,901 and 47,501 is: 103,024.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,901 : 47,501 = 47,501 : x
  2. Step 2: Convert to fraction form
    21,901/47,501 = 47,501/x
  3. Step 3: Cross multiply
    21,901x = 47,501 × 47,501
  4. Step 4: Simplify right side
    21,901x = 2,256,345,001
  5. Step 5: Solve for x
    x = 2,256,345,001/21,901
  6. Step 6: Final answer
    x = 103,024.75

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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.