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Finding the Third Proportional to 21,905 and 47,509

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Solution

The third proportional to 21,905 and 47,509 is: 103,040.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,905 : 47,509 = 47,509 : x
  2. Step 2: Convert to fraction form
    21,905/47,509 = 47,509/x
  3. Step 3: Cross multiply
    21,905x = 47,509 × 47,509
  4. Step 4: Simplify right side
    21,905x = 2,257,105,081
  5. Step 5: Solve for x
    x = 2,257,105,081/21,905
  6. Step 6: Final answer
    x = 103,040.63

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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.