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Finding the Third Proportional to 24,138 and 37,128

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Solution

The third proportional to 24,138 and 37,128 is: 57,108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,138 : 37,128 = 37,128 : x
  2. Step 2: Convert to fraction form
    24,138/37,128 = 37,128/x
  3. Step 3: Cross multiply
    24,138x = 37,128 × 37,128
  4. Step 4: Simplify right side
    24,138x = 1,378,488,384
  5. Step 5: Solve for x
    x = 1,378,488,384/24,138
  6. Step 6: Final answer
    x = 57,108.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.