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Finding the Third Proportional to 30,731 and 41,709

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Solution

The third proportional to 30,731 and 41,709 is: 56,608.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,731 : 41,709 = 41,709 : x
  2. Step 2: Convert to fraction form
    30,731/41,709 = 41,709/x
  3. Step 3: Cross multiply
    30,731x = 41,709 × 41,709
  4. Step 4: Simplify right side
    30,731x = 1,739,640,681
  5. Step 5: Solve for x
    x = 1,739,640,681/30,731
  6. Step 6: Final answer
    x = 56,608.66

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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.