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Finding the Third Proportional to 11,461 and 23,487

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Solution

The third proportional to 11,461 and 23,487 is: 48,131.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461 : 23,487 = 23,487 : x
  2. Step 2: Convert to fraction form
    11,461/23,487 = 23,487/x
  3. Step 3: Cross multiply
    11,461x = 23,487 × 23,487
  4. Step 4: Simplify right side
    11,461x = 551,639,169
  5. Step 5: Solve for x
    x = 551,639,169/11,461
  6. Step 6: Final answer
    x = 48,131.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.