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Finding the Third Proportional to 18,459 and 43,336.50

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Solution

The third proportional to 18,459 and 43,336.50 is: 101,741.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,459 : 43,336.50 = 43,336.50 : x
  2. Step 2: Convert to fraction form
    18,459/43,336.50 = 43,336.50/x
  3. Step 3: Cross multiply
    18,459x = 43,336.50 × 43,336.50
  4. Step 4: Simplify right side
    18,459x = 1,878,052,232.25
  5. Step 5: Solve for x
    x = 1,878,052,232.25/18,459
  6. Step 6: Final answer
    x = 101,741.82

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.