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Finding the Third Proportional to 27,011 and 42,737

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Solution

The third proportional to 27,011 and 42,737 is: 67,618.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,011 : 42,737 = 42,737 : x
  2. Step 2: Convert to fraction form
    27,011/42,737 = 42,737/x
  3. Step 3: Cross multiply
    27,011x = 42,737 × 42,737
  4. Step 4: Simplify right side
    27,011x = 1,826,451,169
  5. Step 5: Solve for x
    x = 1,826,451,169/27,011
  6. Step 6: Final answer
    x = 67,618.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.