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Finding the Third Proportional to 21,904 and 49,657

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Solution

The third proportional to 21,904 and 49,657 is: 112,573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,904 : 49,657 = 49,657 : x
  2. Step 2: Convert to fraction form
    21,904/49,657 = 49,657/x
  3. Step 3: Cross multiply
    21,904x = 49,657 × 49,657
  4. Step 4: Simplify right side
    21,904x = 2,465,817,649
  5. Step 5: Solve for x
    x = 2,465,817,649/21,904
  6. Step 6: Final answer
    x = 112,573.85

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.