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Finding the Third Proportional to 23,610 and 36,235

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Solution

The third proportional to 23,610 and 36,235 is: 55,610.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,610 : 36,235 = 36,235 : x
  2. Step 2: Convert to fraction form
    23,610/36,235 = 36,235/x
  3. Step 3: Cross multiply
    23,610x = 36,235 × 36,235
  4. Step 4: Simplify right side
    23,610x = 1,312,975,225
  5. Step 5: Solve for x
    x = 1,312,975,225/23,610
  6. Step 6: Final answer
    x = 55,610.98

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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.