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Finding the Third Proportional to 10,774.50 and 23,487

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Solution

The third proportional to 10,774.50 and 23,487 is: 51,198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.50 : 23,487 = 23,487 : x
  2. Step 2: Convert to fraction form
    10,774.50/23,487 = 23,487/x
  3. Step 3: Cross multiply
    10,774.50x = 23,487 × 23,487
  4. Step 4: Simplify right side
    10,774.50x = 551,639,169
  5. Step 5: Solve for x
    x = 551,639,169/10,774.50
  6. Step 6: Final answer
    x = 51,198.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.