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Finding the Third Proportional to 11,424.75 and 17,461.50

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Solution

The third proportional to 11,424.75 and 17,461.50 is: 26,688.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.75 : 17,461.50 = 17,461.50 : x
  2. Step 2: Convert to fraction form
    11,424.75/17,461.50 = 17,461.50/x
  3. Step 3: Cross multiply
    11,424.75x = 17,461.50 × 17,461.50
  4. Step 4: Simplify right side
    11,424.75x = 304,903,982.25
  5. Step 5: Solve for x
    x = 304,903,982.25/11,424.75
  6. Step 6: Final answer
    x = 26,688.02

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.