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Finding the Third Proportional to 26,497.50 and 37,137

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Solution

The third proportional to 26,497.50 and 37,137 is: 52,048.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,497.50 : 37,137 = 37,137 : x
  2. Step 2: Convert to fraction form
    26,497.50/37,137 = 37,137/x
  3. Step 3: Cross multiply
    26,497.50x = 37,137 × 37,137
  4. Step 4: Simplify right side
    26,497.50x = 1,379,156,769
  5. Step 5: Solve for x
    x = 1,379,156,769/26,497.50
  6. Step 6: Final answer
    x = 52,048.56

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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.