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Finding the Third Proportional to 24,765 and 37,141

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Solution

The third proportional to 24,765 and 37,141 is: 55,701.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,765 : 37,141 = 37,141 : x
  2. Step 2: Convert to fraction form
    24,765/37,141 = 37,141/x
  3. Step 3: Cross multiply
    24,765x = 37,141 × 37,141
  4. Step 4: Simplify right side
    24,765x = 1,379,453,881
  5. Step 5: Solve for x
    x = 1,379,453,881/24,765
  6. Step 6: Final answer
    x = 55,701.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.