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Finding the Third Proportional to 18,866.75 and 41,009.50

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Solution

The third proportional to 18,866.75 and 41,009.50 is: 89,139.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,866.75 : 41,009.50 = 41,009.50 : x
  2. Step 2: Convert to fraction form
    18,866.75/41,009.50 = 41,009.50/x
  3. Step 3: Cross multiply
    18,866.75x = 41,009.50 × 41,009.50
  4. Step 4: Simplify right side
    18,866.75x = 1,681,779,090.25
  5. Step 5: Solve for x
    x = 1,681,779,090.25/18,866.75
  6. Step 6: Final answer
    x = 89,139.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.