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Finding the Third Proportional to 23,106 and 36,739

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Solution

The third proportional to 23,106 and 36,739 is: 58,415.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,106 : 36,739 = 36,739 : x
  2. Step 2: Convert to fraction form
    23,106/36,739 = 36,739/x
  3. Step 3: Cross multiply
    23,106x = 36,739 × 36,739
  4. Step 4: Simplify right side
    23,106x = 1,349,754,121
  5. Step 5: Solve for x
    x = 1,349,754,121/23,106
  6. Step 6: Final answer
    x = 58,415.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.