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Finding the Third Proportional to 37,852 and 60,056

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Solution

The third proportional to 37,852 and 60,056 is: 95,284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,852 : 60,056 = 60,056 : x
  2. Step 2: Convert to fraction form
    37,852/60,056 = 60,056/x
  3. Step 3: Cross multiply
    37,852x = 60,056 × 60,056
  4. Step 4: Simplify right side
    37,852x = 3,606,723,136
  5. Step 5: Solve for x
    x = 3,606,723,136/37,852
  6. Step 6: Final answer
    x = 95,284.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.