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Finding the Third Proportional to 37,133 and 55,877

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Solution

The third proportional to 37,133 and 55,877 is: 84,082.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,133 : 55,877 = 55,877 : x
  2. Step 2: Convert to fraction form
    37,133/55,877 = 55,877/x
  3. Step 3: Cross multiply
    37,133x = 55,877 × 55,877
  4. Step 4: Simplify right side
    37,133x = 3,122,239,129
  5. Step 5: Solve for x
    x = 3,122,239,129/37,133
  6. Step 6: Final answer
    x = 84,082.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.