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Finding the Third Proportional to 48,643.50 and 100,932

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Solution

The third proportional to 48,643.50 and 100,932 is: 209,427.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,643.50 : 100,932 = 100,932 : x
  2. Step 2: Convert to fraction form
    48,643.50/100,932 = 100,932/x
  3. Step 3: Cross multiply
    48,643.50x = 100,932 × 100,932
  4. Step 4: Simplify right side
    48,643.50x = 10,187,268,624
  5. Step 5: Solve for x
    x = 10,187,268,624/48,643.50
  6. Step 6: Final answer
    x = 209,427.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.