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Finding the Third Proportional to 17,973 and 41,989.50

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Solution

The third proportional to 17,973 and 41,989.50 is: 98,098.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,973 : 41,989.50 = 41,989.50 : x
  2. Step 2: Convert to fraction form
    17,973/41,989.50 = 41,989.50/x
  3. Step 3: Cross multiply
    17,973x = 41,989.50 × 41,989.50
  4. Step 4: Simplify right side
    17,973x = 1,763,118,110.25
  5. Step 5: Solve for x
    x = 1,763,118,110.25/17,973
  6. Step 6: Final answer
    x = 98,098.15

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.