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Finding the Third Proportional to 49,675 and 107,637.50

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Solution

The third proportional to 49,675 and 107,637.50 is: 233,232.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,675 : 107,637.50 = 107,637.50 : x
  2. Step 2: Convert to fraction form
    49,675/107,637.50 = 107,637.50/x
  3. Step 3: Cross multiply
    49,675x = 107,637.50 × 107,637.50
  4. Step 4: Simplify right side
    49,675x = 11,585,831,406.25
  5. Step 5: Solve for x
    x = 11,585,831,406.25/49,675
  6. Step 6: Final answer
    x = 233,232.64

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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.