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Finding the Third Proportional to 40,977 and 61,842

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Solution

The third proportional to 40,977 and 61,842 is: 93,331.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,977 : 61,842 = 61,842 : x
  2. Step 2: Convert to fraction form
    40,977/61,842 = 61,842/x
  3. Step 3: Cross multiply
    40,977x = 61,842 × 61,842
  4. Step 4: Simplify right side
    40,977x = 3,824,432,964
  5. Step 5: Solve for x
    x = 3,824,432,964/40,977
  6. Step 6: Final answer
    x = 93,331.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.