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Finding the Third Proportional to 41,213 and 61,791

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Solution

The third proportional to 41,213 and 61,791 is: 92,643.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,213 : 61,791 = 61,791 : x
  2. Step 2: Convert to fraction form
    41,213/61,791 = 61,791/x
  3. Step 3: Cross multiply
    41,213x = 61,791 × 61,791
  4. Step 4: Simplify right side
    41,213x = 3,818,127,681
  5. Step 5: Solve for x
    x = 3,818,127,681/41,213
  6. Step 6: Final answer
    x = 92,643.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.