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Finding the Third Proportional to 23,726 and 48,637

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Solution

The third proportional to 23,726 and 48,637 is: 99,703.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,726 : 48,637 = 48,637 : x
  2. Step 2: Convert to fraction form
    23,726/48,637 = 48,637/x
  3. Step 3: Cross multiply
    23,726x = 48,637 × 48,637
  4. Step 4: Simplify right side
    23,726x = 2,365,557,769
  5. Step 5: Solve for x
    x = 2,365,557,769/23,726
  6. Step 6: Final answer
    x = 99,703.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.