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Finding the Third Proportional to 37,000 and 55,283

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Solution

The third proportional to 37,000 and 55,283 is: 82,600.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,000 : 55,283 = 55,283 : x
  2. Step 2: Convert to fraction form
    37,000/55,283 = 55,283/x
  3. Step 3: Cross multiply
    37,000x = 55,283 × 55,283
  4. Step 4: Simplify right side
    37,000x = 3,056,210,089
  5. Step 5: Solve for x
    x = 3,056,210,089/37,000
  6. Step 6: Final answer
    x = 82,600.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.