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Finding the Third Proportional to 43,850 and 93,538

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Solution

The third proportional to 43,850 and 93,538 is: 199,529.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,850 : 93,538 = 93,538 : x
  2. Step 2: Convert to fraction form
    43,850/93,538 = 93,538/x
  3. Step 3: Cross multiply
    43,850x = 93,538 × 93,538
  4. Step 4: Simplify right side
    43,850x = 8,749,357,444
  5. Step 5: Solve for x
    x = 8,749,357,444/43,850
  6. Step 6: Final answer
    x = 199,529.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.