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Finding the Third Proportional to 24,796 and 37,774

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Solution

The third proportional to 24,796 and 37,774 is: 57,544.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,796 : 37,774 = 37,774 : x
  2. Step 2: Convert to fraction form
    24,796/37,774 = 37,774/x
  3. Step 3: Cross multiply
    24,796x = 37,774 × 37,774
  4. Step 4: Simplify right side
    24,796x = 1,426,875,076
  5. Step 5: Solve for x
    x = 1,426,875,076/24,796
  6. Step 6: Final answer
    x = 57,544.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.