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Finding the Third Proportional to 23,510 and 36,011

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Solution

The third proportional to 23,510 and 36,011 is: 55,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,510 : 36,011 = 36,011 : x
  2. Step 2: Convert to fraction form
    23,510/36,011 = 36,011/x
  3. Step 3: Cross multiply
    23,510x = 36,011 × 36,011
  4. Step 4: Simplify right side
    23,510x = 1,296,792,121
  5. Step 5: Solve for x
    x = 1,296,792,121/23,510
  6. Step 6: Final answer
    x = 55,159.17

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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.