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Finding the Third Proportional to 10,931 and 23,455

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Solution

The third proportional to 10,931 and 23,455 is: 50,328.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931 : 23,455 = 23,455 : x
  2. Step 2: Convert to fraction form
    10,931/23,455 = 23,455/x
  3. Step 3: Cross multiply
    10,931x = 23,455 × 23,455
  4. Step 4: Simplify right side
    10,931x = 550,137,025
  5. Step 5: Solve for x
    x = 550,137,025/10,931
  6. Step 6: Final answer
    x = 50,328.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.