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Finding the Third Proportional to 37,936 and 53,072

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Solution

The third proportional to 37,936 and 53,072 is: 74,247.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,936 : 53,072 = 53,072 : x
  2. Step 2: Convert to fraction form
    37,936/53,072 = 53,072/x
  3. Step 3: Cross multiply
    37,936x = 53,072 × 53,072
  4. Step 4: Simplify right side
    37,936x = 2,816,637,184
  5. Step 5: Solve for x
    x = 2,816,637,184/37,936
  6. Step 6: Final answer
    x = 74,247.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.