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Finding the Third Proportional to 27,071 and 36,877

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Solution

The third proportional to 27,071 and 36,877 is: 50,235.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,071 : 36,877 = 36,877 : x
  2. Step 2: Convert to fraction form
    27,071/36,877 = 36,877/x
  3. Step 3: Cross multiply
    27,071x = 36,877 × 36,877
  4. Step 4: Simplify right side
    27,071x = 1,359,913,129
  5. Step 5: Solve for x
    x = 1,359,913,129/27,071
  6. Step 6: Final answer
    x = 50,235.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.