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Finding the Third Proportional to 21,661 and 47,457

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Solution

The third proportional to 21,661 and 47,457 is: 103,973.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,661 : 47,457 = 47,457 : x
  2. Step 2: Convert to fraction form
    21,661/47,457 = 47,457/x
  3. Step 3: Cross multiply
    21,661x = 47,457 × 47,457
  4. Step 4: Simplify right side
    21,661x = 2,252,166,849
  5. Step 5: Solve for x
    x = 2,252,166,849/21,661
  6. Step 6: Final answer
    x = 103,973.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.