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Finding the Third Proportional to 24,780 and 37,173

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Solution

The third proportional to 24,780 and 37,173 is: 55,764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,780 : 37,173 = 37,173 : x
  2. Step 2: Convert to fraction form
    24,780/37,173 = 37,173/x
  3. Step 3: Cross multiply
    24,780x = 37,173 × 37,173
  4. Step 4: Simplify right side
    24,780x = 1,381,831,929
  5. Step 5: Solve for x
    x = 1,381,831,929/24,780
  6. Step 6: Final answer
    x = 55,764.00

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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.