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Finding the Third Proportional to 27,594 and 43,713

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Solution

The third proportional to 27,594 and 43,713 is: 69,247.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,594 : 43,713 = 43,713 : x
  2. Step 2: Convert to fraction form
    27,594/43,713 = 43,713/x
  3. Step 3: Cross multiply
    27,594x = 43,713 × 43,713
  4. Step 4: Simplify right side
    27,594x = 1,910,826,369
  5. Step 5: Solve for x
    x = 1,910,826,369/27,594
  6. Step 6: Final answer
    x = 69,247.89

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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.