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Finding the Third Proportional to 17,779.50 and 42,087.09

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Solution

The third proportional to 17,779.50 and 42,087.09 is: 99,627.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,779.50 : 42,087.09 = 42,087.09 : x
  2. Step 2: Convert to fraction form
    17,779.50/42,087.09 = 42,087.09/x
  3. Step 3: Cross multiply
    17,779.50x = 42,087.09 × 42,087.09
  4. Step 4: Simplify right side
    17,779.50x = 1,771,323,460.32
  5. Step 5: Solve for x
    x = 1,771,323,460.32/17,779.50
  6. Step 6: Final answer
    x = 99,627.29

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.