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Finding the Third Proportional to 10,729 and 16,413

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Solution

The third proportional to 10,729 and 16,413 is: 25,108.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729 : 16,413 = 16,413 : x
  2. Step 2: Convert to fraction form
    10,729/16,413 = 16,413/x
  3. Step 3: Cross multiply
    10,729x = 16,413 × 16,413
  4. Step 4: Simplify right side
    10,729x = 269,386,569
  5. Step 5: Solve for x
    x = 269,386,569/10,729
  6. Step 6: Final answer
    x = 25,108.26

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Why These Related Problems?

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