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Finding the Third Proportional to 24,776 and 37,052

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Solution

The third proportional to 24,776 and 37,052 is: 55,410.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,776 : 37,052 = 37,052 : x
  2. Step 2: Convert to fraction form
    24,776/37,052 = 37,052/x
  3. Step 3: Cross multiply
    24,776x = 37,052 × 37,052
  4. Step 4: Simplify right side
    24,776x = 1,372,850,704
  5. Step 5: Solve for x
    x = 1,372,850,704/24,776
  6. Step 6: Final answer
    x = 55,410.51

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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.