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Finding the Third Proportional to 27,126 and 37,503

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Solution

The third proportional to 27,126 and 37,503 is: 51,849.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,126 : 37,503 = 37,503 : x
  2. Step 2: Convert to fraction form
    27,126/37,503 = 37,503/x
  3. Step 3: Cross multiply
    27,126x = 37,503 × 37,503
  4. Step 4: Simplify right side
    27,126x = 1,406,475,009
  5. Step 5: Solve for x
    x = 1,406,475,009/27,126
  6. Step 6: Final answer
    x = 51,849.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.