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Finding the Third Proportional to 37,588 and 56,266

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Solution

The third proportional to 37,588 and 56,266 is: 84,225.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,588 : 56,266 = 56,266 : x
  2. Step 2: Convert to fraction form
    37,588/56,266 = 56,266/x
  3. Step 3: Cross multiply
    37,588x = 56,266 × 56,266
  4. Step 4: Simplify right side
    37,588x = 3,165,862,756
  5. Step 5: Solve for x
    x = 3,165,862,756/37,588
  6. Step 6: Final answer
    x = 84,225.36

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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.