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Finding the Third Proportional to 10,476 and 23,691

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Solution

The third proportional to 10,476 and 23,691 is: 53,576.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476 : 23,691 = 23,691 : x
  2. Step 2: Convert to fraction form
    10,476/23,691 = 23,691/x
  3. Step 3: Cross multiply
    10,476x = 23,691 × 23,691
  4. Step 4: Simplify right side
    10,476x = 561,263,481
  5. Step 5: Solve for x
    x = 561,263,481/10,476
  6. Step 6: Final answer
    x = 53,576.12

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.