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Finding the Third Proportional to 24,904 and 37,544

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Solution

The third proportional to 24,904 and 37,544 is: 56,599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,904 : 37,544 = 37,544 : x
  2. Step 2: Convert to fraction form
    24,904/37,544 = 37,544/x
  3. Step 3: Cross multiply
    24,904x = 37,544 × 37,544
  4. Step 4: Simplify right side
    24,904x = 1,409,551,936
  5. Step 5: Solve for x
    x = 1,409,551,936/24,904
  6. Step 6: Final answer
    x = 56,599.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.