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Finding the Third Proportional to 19,699.50 and 42,099

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Solution

The third proportional to 19,699.50 and 42,099 is: 89,968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,699.50 : 42,099 = 42,099 : x
  2. Step 2: Convert to fraction form
    19,699.50/42,099 = 42,099/x
  3. Step 3: Cross multiply
    19,699.50x = 42,099 × 42,099
  4. Step 4: Simplify right side
    19,699.50x = 1,772,325,801
  5. Step 5: Solve for x
    x = 1,772,325,801/19,699.50
  6. Step 6: Final answer
    x = 89,968.06

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.