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Finding the Third Proportional to 51,940 and 74,018

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Solution

The third proportional to 51,940 and 74,018 is: 105,480.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,940 : 74,018 = 74,018 : x
  2. Step 2: Convert to fraction form
    51,940/74,018 = 74,018/x
  3. Step 3: Cross multiply
    51,940x = 74,018 × 74,018
  4. Step 4: Simplify right side
    51,940x = 5,478,664,324
  5. Step 5: Solve for x
    x = 5,478,664,324/51,940
  6. Step 6: Final answer
    x = 105,480.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.