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Finding the Third Proportional to 10,746 and 23,337

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Solution

The third proportional to 10,746 and 23,337 is: 50,680.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,746 : 23,337 = 23,337 : x
  2. Step 2: Convert to fraction form
    10,746/23,337 = 23,337/x
  3. Step 3: Cross multiply
    10,746x = 23,337 × 23,337
  4. Step 4: Simplify right side
    10,746x = 544,615,569
  5. Step 5: Solve for x
    x = 544,615,569/10,746
  6. Step 6: Final answer
    x = 50,680.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.