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Finding the Third Proportional to 24,770 and 37,155

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Solution

The third proportional to 24,770 and 37,155 is: 55,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,770 : 37,155 = 37,155 : x
  2. Step 2: Convert to fraction form
    24,770/37,155 = 37,155/x
  3. Step 3: Cross multiply
    24,770x = 37,155 × 37,155
  4. Step 4: Simplify right side
    24,770x = 1,380,494,025
  5. Step 5: Solve for x
    x = 1,380,494,025/24,770
  6. Step 6: Final answer
    x = 55,732.50

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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.