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Finding the Third Proportional to 5,012.50 and 10,889

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Solution

The third proportional to 5,012.50 and 10,889 is: 23,654.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,012.50 : 10,889 = 10,889 : x
  2. Step 2: Convert to fraction form
    5,012.50/10,889 = 10,889/x
  3. Step 3: Cross multiply
    5,012.50x = 10,889 × 10,889
  4. Step 4: Simplify right side
    5,012.50x = 118,570,321
  5. Step 5: Solve for x
    x = 118,570,321/5,012.50
  6. Step 6: Final answer
    x = 23,654.93

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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.